Mathematics
Geometry
Find the perimeter of a triangle with sides 9 cm, 11 cm and 12 cm.
A. 32 cm
B. 38 cm
C. 35 cm
D. 29 cm
Correct Answer: A
Perimeter=9+11+12=32 cm.
Mathematics
Geometry
Find the perimeter of a triangle with sides 8 cm, 10 cm and 11 cm.
A. 26 cm
B. 32 cm
C. 29 cm
D. 35 cm
Correct Answer: C
Perimeter=8+10+11=29 cm.
Mathematics
Geometry
Find the perimeter of a triangle with sides 7 cm, 9 cm and 10 cm.
A. 29 cm
B. 32 cm
C. 26 cm
D. 23 cm
Correct Answer: C
Perimeter=7+9+10=26 cm.
Mathematics
Geometry
Find the perimeter of a triangle with sides 6 cm, 8 cm and 9 cm.
A. 26 cm
B. 20 cm
C. 23 cm
D. 29 cm
Correct Answer: C
Perimeter=6+8+9=23 cm.
Mathematics
Geometry
Find the perimeter of a triangle with sides 5 cm, 7 cm and 8 cm.
A. 26 cm
B. 17 cm
C. 20 cm
D. 23 cm
Correct Answer: C
Perimeter=5+7+8=20 cm.
Mathematics
Geometry
A right triangle has legs 11 cm and 60 cm. Find the hypotenuse.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text><text x="115" y="168" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">60</text><text x="70" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">11</text><text x="174" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text></svg>
A. 67 cm
B. 64 cm
C. 58 cm
D. 61 cm
Correct Answer: D
By Pythagoras: c²=11²+60²=3721, so c=61 cm.
Mathematics
Geometry
A right triangle has legs 28 cm and 45 cm. Find the hypotenuse.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text><text x="115" y="168" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">45</text><text x="70" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">28</text><text x="174" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text></svg>
A. 56 cm
B. 53 cm
C. 59 cm
D. 50 cm
Correct Answer: B
By Pythagoras: c²=28²+45²=2809, so c=53 cm.
Mathematics
Geometry
A right triangle has legs 16 cm and 30 cm. Find the hypotenuse.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text><text x="115" y="168" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">30</text><text x="70" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">16</text><text x="174" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text></svg>
A. 40 cm
B. 31 cm
C. 37 cm
D. 34 cm
Correct Answer: D
By Pythagoras: c²=16²+30²=1156, so c=34 cm.
Mathematics
Geometry
A right triangle has legs 21 cm and 28 cm. Find the hypotenuse.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text><text x="115" y="168" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">28</text><text x="70" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">21</text><text x="174" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text></svg>
A. 35 cm
B. 38 cm
C. 32 cm
D. 41 cm
Correct Answer: A
By Pythagoras: c²=21²+28²=1225, so c=35 cm.
Mathematics
Geometry
A right triangle has legs 24 cm and 32 cm. Find the hypotenuse.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text><text x="115" y="168" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">32</text><text x="70" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">24</text><text x="174" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text></svg>
A. 46 cm
B. 43 cm
C. 40 cm
D. 37 cm
Correct Answer: C
By Pythagoras: c²=24²+32²=1600, so c=40 cm.
Mathematics
Geometry
A right triangle has legs 18 cm and 24 cm. Find the hypotenuse.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text><text x="115" y="168" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">24</text><text x="70" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">18</text><text x="174" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text></svg>
A. 27 cm
B. 30 cm
C. 33 cm
D. 36 cm
Correct Answer: B
By Pythagoras: c²=18²+24²=900, so c=30 cm.
Mathematics
Geometry
A right triangle has legs 15 cm and 36 cm. Find the hypotenuse.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text><text x="115" y="168" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">36</text><text x="70" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">15</text><text x="174" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text></svg>
A. 42 cm
B. 45 cm
C. 36 cm
D. 39 cm
Correct Answer: D
By Pythagoras: c²=15²+36²=1521, so c=39 cm.
Mathematics
Geometry
A right triangle has legs 10 cm and 24 cm. Find the hypotenuse.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text><text x="115" y="168" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">24</text><text x="70" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">10</text><text x="174" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text></svg>
A. 32 cm
B. 23 cm
C. 26 cm
D. 29 cm
Correct Answer: C
By Pythagoras: c²=10²+24²=676, so c=26 cm.
Mathematics
Geometry
A right triangle has legs 20 cm and 21 cm. Find the hypotenuse.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text><text x="115" y="168" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">21</text><text x="70" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">20</text><text x="174" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text></svg>
A. 26 cm
B. 35 cm
C. 29 cm
D. 32 cm
Correct Answer: C
By Pythagoras: c²=20²+21²=841, so c=29 cm.
Mathematics
Geometry
A right triangle has legs 12 cm and 16 cm. Find the hypotenuse.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text><text x="115" y="168" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">16</text><text x="70" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">12</text><text x="174" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text></svg>
A. 26 cm
B. 17 cm
C. 20 cm
D. 23 cm
Correct Answer: C
By Pythagoras: c²=12²+16²=400, so c=20 cm.
Mathematics
Geometry
A right triangle has legs 9 cm and 12 cm. Find the hypotenuse.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text><text x="115" y="168" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">12</text><text x="70" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">9</text><text x="174" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text></svg>
A. 18 cm
B. 12 cm
C. 21 cm
D. 15 cm
Correct Answer: D
By Pythagoras: c²=9²+12²=225, so c=15 cm.
Mathematics
Geometry
A right triangle has legs 7 cm and 24 cm. Find the hypotenuse.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text><text x="115" y="168" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">24</text><text x="70" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">7</text><text x="174" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text></svg>
A. 25 cm
B. 31 cm
C. 22 cm
D. 28 cm
Correct Answer: A
By Pythagoras: c²=7²+24²=625, so c=25 cm.
Mathematics
Geometry
A right triangle has legs 8 cm and 15 cm. Find the hypotenuse.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text><text x="115" y="168" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">15</text><text x="70" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">8</text><text x="174" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text></svg>
A. 17 cm
B. 14 cm
C. 20 cm
D. 23 cm
Correct Answer: A
By Pythagoras: c²=8²+15²=289, so c=17 cm.
Mathematics
Geometry
A right triangle has legs 5 cm and 12 cm. Find the hypotenuse.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text><text x="115" y="168" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">12</text><text x="70" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">5</text><text x="174" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text></svg>
A. 13 cm
B. 16 cm
C. 19 cm
D. 10 cm
Correct Answer: A
By Pythagoras: c²=5²+12²=169, so c=13 cm.
Mathematics
Geometry
A right triangle has legs 3 cm and 4 cm. Find the hypotenuse.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text><text x="115" y="168" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">4</text><text x="70" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">3</text><text x="174" y="90" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text></svg>
A. 8 cm
B. 5 cm
C. 2 cm
D. 11 cm
Correct Answer: B
By Pythagoras: c²=3²+4²=25, so c=5 cm.