CSS - PMS - CCE - PCS - Mathematics
Geometry
An isosceles triangle has vertex angle 56°. Find each base angle.<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="52" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="187" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="118" y="58" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">56°</text></svg>
A. 72°
B. 67°
C. 57°
D. 62°
Correct Answer: D
Base angles are equal: (180°−56°)/2=62°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
An isosceles triangle has vertex angle 52°. Find each base angle.<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="52" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="187" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="118" y="58" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">52°</text></svg>
A. 59°
B. 69°
C. 74°
D. 64°
Correct Answer: D
Base angles are equal: (180°−52°)/2=64°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
An isosceles triangle has vertex angle 48°. Find each base angle.<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="52" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="187" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="118" y="58" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">48°</text></svg>
A. 61°
B. 76°
C. 66°
D. 71°
Correct Answer: C
Base angles are equal: (180°−48°)/2=66°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
An isosceles triangle has vertex angle 44°. Find each base angle.<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="52" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="187" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="118" y="58" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">44°</text></svg>
A. 63°
B. 68°
C. 78°
D. 73°
Correct Answer: B
Base angles are equal: (180°−44°)/2=68°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
An isosceles triangle has vertex angle 40°. Find each base angle.<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="52" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="187" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="118" y="58" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">40°</text></svg>
A. 80°
B. 70°
C. 75°
D. 65°
Correct Answer: B
Base angles are equal: (180°−40°)/2=70°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
If two sides of a triangle are 14 cm and 17 cm, what is the greatest possible integer length of the third side?
A. 28 cm
B. 32 cm
C. 30 cm
D. 34 cm
Correct Answer: C
Triangle inequality requires third side < 31; greatest integer is 30 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
If two sides of a triangle are 13 cm and 16 cm, what is the greatest possible integer length of the third side?
A. 32 cm
B. 26 cm
C. 28 cm
D. 30 cm
Correct Answer: C
Triangle inequality requires third side < 29; greatest integer is 28 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
If two sides of a triangle are 12 cm and 15 cm, what is the greatest possible integer length of the third side?
A. 30 cm
B. 24 cm
C. 28 cm
D. 26 cm
Correct Answer: D
Triangle inequality requires third side < 27; greatest integer is 26 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
If two sides of a triangle are 11 cm and 14 cm, what is the greatest possible integer length of the third side?
A. 24 cm
B. 28 cm
C. 26 cm
D. 22 cm
Correct Answer: A
Triangle inequality requires third side < 25; greatest integer is 24 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
If two sides of a triangle are 10 cm and 13 cm, what is the greatest possible integer length of the third side?
A. 26 cm
B. 24 cm
C. 22 cm
D. 20 cm
Correct Answer: C
Triangle inequality requires third side < 23; greatest integer is 22 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
If two sides of a triangle are 9 cm and 12 cm, what is the greatest possible integer length of the third side?
A. 24 cm
B. 20 cm
C. 22 cm
D. 18 cm
Correct Answer: B
Triangle inequality requires third side < 21; greatest integer is 20 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
If two sides of a triangle are 8 cm and 11 cm, what is the greatest possible integer length of the third side?
A. 22 cm
B. 20 cm
C. 16 cm
D. 18 cm
Correct Answer: D
Triangle inequality requires third side < 19; greatest integer is 18 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
If two sides of a triangle are 7 cm and 10 cm, what is the greatest possible integer length of the third side?
A. 20 cm
B. 16 cm
C. 18 cm
D. 14 cm
Correct Answer: B
Triangle inequality requires third side < 17; greatest integer is 16 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
If two sides of a triangle are 6 cm and 9 cm, what is the greatest possible integer length of the third side?
A. 18 cm
B. 12 cm
C. 14 cm
D. 16 cm
Correct Answer: C
Triangle inequality requires third side < 15; greatest integer is 14 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
If two sides of a triangle are 5 cm and 8 cm, what is the greatest possible integer length of the third side?
A. 10 cm
B. 12 cm
C. 16 cm
D. 14 cm
Correct Answer: B
Triangle inequality requires third side < 13; greatest integer is 12 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find the perimeter of a triangle with sides 14 cm, 16 cm and 17 cm.
A. 50 cm
B. 53 cm
C. 47 cm
D. 44 cm
Correct Answer: C
Perimeter=14+16+17=47 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find the perimeter of a triangle with sides 13 cm, 15 cm and 16 cm.
A. 50 cm
B. 47 cm
C. 44 cm
D. 41 cm
Correct Answer: C
Perimeter=13+15+16=44 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find the perimeter of a triangle with sides 12 cm, 14 cm and 15 cm.
A. 41 cm
B. 38 cm
C. 44 cm
D. 47 cm
Correct Answer: A
Perimeter=12+14+15=41 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find the perimeter of a triangle with sides 11 cm, 13 cm and 14 cm.
A. 38 cm
B. 44 cm
C. 35 cm
D. 41 cm
Correct Answer: A
Perimeter=11+13+14=38 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find the perimeter of a triangle with sides 10 cm, 12 cm and 13 cm.
A. 32 cm
B. 41 cm
C. 38 cm
D. 35 cm
Correct Answer: D
Perimeter=10+12+13=35 cm.