Q. If a triangle has sides of lengths 6 cm, 8 cm, and 10 cm, what is the perimeter of the triangle?
-
A.
24 cm
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B.
20 cm
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C.
18 cm
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D.
22 cm
Solution
The perimeter of a triangle is the sum of its sides: 6 + 8 + 10 = 24 cm.
Correct Answer:
A
— 24 cm
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Q. If a triangle has sides of lengths 6 cm, 8 cm, and 10 cm, what type of triangle is it?
-
A.
Equilateral
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B.
Isosceles
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C.
Scalene
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D.
Right
Solution
This triangle is a right triangle because it satisfies the Pythagorean theorem: 6^2 + 8^2 = 10^2 (36 + 64 = 100).
Correct Answer:
D
— Right
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Q. If one angle of a triangle is 50 degrees and another is 60 degrees, what is the measure of the third angle?
-
A.
70 degrees
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B.
80 degrees
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C.
90 degrees
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D.
100 degrees
Solution
The third angle can be found by subtracting the sum of the other two angles from 180 degrees: 180 - (50 + 60) = 70 degrees.
Correct Answer:
A
— 70 degrees
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Q. If two angles of a triangle are 45 degrees and 45 degrees, what type of triangle is it?
-
A.
Equilateral
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B.
Isosceles
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C.
Scalene
-
D.
Right
Solution
A triangle with two equal angles is an isosceles triangle.
Correct Answer:
B
— Isosceles
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Q. If two angles of a triangle are equal, what type of triangle is it?
-
A.
Scalene
-
B.
Isosceles
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C.
Equilateral
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D.
Right
Solution
A triangle with two equal angles is called an isosceles triangle.
Correct Answer:
B
— Isosceles
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Q. In a triangle, if the lengths of the sides are 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.
Scalene
Solution
This triangle is a right triangle because 7² + 24² = 25² (49 + 576 = 625).
Correct Answer:
C
— Right
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Q. In triangle ABC, if angle A = 30 degrees and angle B = 60 degrees, what is angle C?
-
A.
30 degrees
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B.
60 degrees
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C.
90 degrees
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D.
120 degrees
Solution
Angle C can be found by subtracting the sum of angles A and B from 180 degrees: 180 - (30 + 60) = 90 degrees.
Correct Answer:
C
— 90 degrees
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Q. What is the length of the altitude from the vertex of a triangle with a base of 12 cm and an area of 36 cm²?
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A.
4 cm
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B.
6 cm
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C.
3 cm
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D.
5 cm
Solution
The area of a triangle is given by Area = 1/2 * base * height. Rearranging gives height = 2 * Area / base = 2 * 36 / 12 = 6 cm.
Correct Answer:
B
— 6 cm
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Q. What is the perimeter of a triangle with sides measuring 7 cm, 8 cm, and 9 cm?
-
A.
24 cm
-
B.
25 cm
-
C.
26 cm
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D.
27 cm
Solution
The perimeter of a triangle is the sum of its sides: 7 + 8 + 9 = 24 cm.
Correct Answer:
A
— 24 cm
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Q. What type of triangle has all sides of different lengths?
-
A.
Equilateral
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B.
Isosceles
-
C.
Scalene
-
D.
Right
Solution
A triangle with all sides of different lengths is called a scalene triangle.
Correct Answer:
C
— Scalene
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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.
3 cm, 4 cm, 5 cm
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D.
5 cm, 12 cm, 13 cm
Solution
A triangle is congruent if it has the same side lengths. The triangle with sides 5 cm, 12 cm, and 13 cm is congruent to itself.
Correct Answer:
D
— 5 cm, 12 cm, 13 cm
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