Q. If a triangle has sides of lengths 7 cm, 24 cm, and 25 cm, what type of triangle is it?
-
A.
Acute
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B.
Obtuse
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C.
Right
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D.
Equilateral
Solution
Using the Pythagorean theorem, since 7² + 24² = 49 + 576 = 625 = 25², the triangle is a right triangle.
Correct Answer:
C
— Right
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Q. In a right triangle, if one angle is 30 degrees, what is the other non-right angle?
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A.
30 degrees
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B.
45 degrees
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C.
60 degrees
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D.
90 degrees
Solution
In a right triangle, the sum of the angles is 180 degrees. Therefore, the other angle is 180 - 90 - 30 = 60 degrees.
Correct Answer:
C
— 60 degrees
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Q. What is the length of the hypotenuse of a right triangle with legs of lengths 6 cm and 8 cm?
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A.
10 cm
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B.
12 cm
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C.
14 cm
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D.
16 cm
Solution
Using the Pythagorean theorem, c² = a² + b². Thus, c² = 6² + 8² = 36 + 64 = 100, so c = √100 = 10 cm.
Correct Answer:
A
— 10 cm
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Q. What is the sum of the interior angles of a triangle?
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A.
90 degrees
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B.
180 degrees
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C.
270 degrees
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D.
360 degrees
Solution
The sum of the interior angles of a triangle is always 180 degrees.
Correct Answer:
B
— 180 degrees
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Q. Which of the following triangles is congruent to a triangle with sides 5 cm, 12 cm, and 13 cm?
-
A.
5 cm, 12 cm, 14 cm
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B.
6 cm, 8 cm, 10 cm
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C.
5 cm, 12 cm, 13 cm
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D.
7 cm, 24 cm, 25 cm
Solution
Two triangles are congruent if they have the same side lengths. The triangle with sides 5 cm, 12 cm, and 13 cm is congruent to itself.
Correct Answer:
C
— 5 cm, 12 cm, 13 cm
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