Q. If the area of a triangle is 24 square cm and the base is 8 cm, what is the height?
A.
3 cm
B.
6 cm
C.
8 cm
D.
12 cm
Show solution
Solution
The area of a triangle is given by the formula Area = 1/2 * base * height. Thus, 24 = 1/2 * 8 * height, which gives height = 6 cm.
Correct Answer: B — 6 cm
Learn More →
Q. If the perimeter of an equilateral triangle is 36 cm, what is the length of each side?
A.
9 cm
B.
12 cm
C.
15 cm
D.
18 cm
Show solution
Solution
In an equilateral triangle, all sides are equal. Therefore, if the perimeter is 36 cm, each side is 36/3 = 12 cm.
Correct Answer: B — 12 cm
Learn More →
Q. If the sides of a triangle are in the ratio 3:4:5, which type of triangle is it?
A.
Equilateral
B.
Isosceles
C.
Scalene
D.
Right-angled
Show solution
Solution
A triangle with sides in the ratio 3:4:5 is a right-angled triangle, as it satisfies the Pythagorean theorem.
Correct Answer: D — Right-angled
Learn More →
Q. In a triangle, if the lengths of two sides are 7 cm and 10 cm, which of the following could be the length of the third side?
A.
3 cm
B.
15 cm
C.
5 cm
D.
17 cm
Show solution
Solution
According to the triangle inequality theorem, the length of the third side must be less than the sum and greater than the difference of the other two sides. Therefore, the third side must be greater than 3 cm and less than 17 cm.
Correct Answer: A — 3 cm
Learn More →
Q. In triangle ABC, if angle A is 30 degrees and angle B is 60 degrees, what is the measure of angle C?
A.
30 degrees
B.
60 degrees
C.
90 degrees
D.
120 degrees
Show solution
Solution
Using the property that the sum of angles in a triangle is 180 degrees, angle C can be calculated as 180 - (30 + 60) = 90 degrees.
Correct Answer: C — 90 degrees
Learn More →
Q. In triangle DEF, if angle D is 45 degrees and angle E is 45 degrees, what type of triangle is DEF?
A.
Scalene
B.
Isosceles
C.
Equilateral
D.
Right-angled
Show solution
Solution
Since two angles are equal (45 degrees each), triangle DEF is an isosceles triangle.
Correct Answer: B — Isosceles
Learn More →
Q. In triangle XYZ, if side XY is 8 cm, side YZ is 6 cm, and side XZ is 10 cm, which of the following is true?
A.
It is a right triangle.
B.
It is an isosceles triangle.
C.
It is an equilateral triangle.
D.
It is a scalene triangle.
Show solution
Solution
Since all sides are of different lengths, triangle XYZ is a scalene triangle.
Correct Answer: D — It is a scalene triangle.
Learn More →
Q. In triangle XYZ, if XY = 8 cm, YZ = 6 cm, and XZ = 10 cm, which of the following is true?
A.
It is an equilateral triangle.
B.
It is an isosceles triangle.
C.
It is a scalene triangle.
D.
It is a right triangle.
Show solution
Solution
Since all sides are of different lengths, triangle XYZ is a scalene triangle.
Correct Answer: C — It is a scalene triangle.
Learn More →
Q. What is the area of a triangle with a base of 10 cm and a height of 5 cm?
A.
25 cm²
B.
50 cm²
C.
15 cm²
D.
30 cm²
Show solution
Solution
The area of a triangle is given by the formula (1/2) * base * height. Thus, Area = (1/2) * 10 * 5 = 25 cm².
Correct Answer: A — 25 cm²
Learn More →
Q. Which of the following is a property of an isosceles triangle?
A.
All sides are equal.
B.
Two sides are equal.
C.
It has one right angle.
D.
It has no equal sides.
Show solution
Solution
An isosceles triangle is defined as having at least two sides that are equal in length.
Correct Answer: B — Two sides are equal.
Learn More →
Q. Which of the following is NOT a property of triangles?
A.
The longest side is opposite the largest angle.
B.
The shortest side is opposite the smallest angle.
C.
The area can be calculated using base and height.
D.
All angles must be acute.
Show solution
Solution
Not all triangles have all angles acute; for example, a right triangle has one angle that is 90 degrees.
Correct Answer: D — All angles must be acute.
Learn More →
Q. Which of the following statements about triangles is true?
A.
All triangles are equilateral.
B.
The sum of the angles in a triangle is 180 degrees.
C.
A triangle can have two right angles.
D.
The area of a triangle is always greater than its perimeter.
Show solution
Solution
The sum of the angles in any triangle is always 180 degrees, which is a fundamental property of triangles.
Correct Answer: B — The sum of the angles in a triangle is 180 degrees.
Learn More →
Q. Which of the following triangles has the largest area?
A.
Triangle with sides 3, 4, 5
B.
Triangle with sides 5, 12, 13
C.
Triangle with sides 6, 8, 10
D.
Triangle with sides 7, 24, 25
Show solution
Solution
Using the formula for the area of a triangle, the triangle with sides 7, 24, 25 has the largest area due to its larger base and height.
Correct Answer: D — Triangle with sides 7, 24, 25
Learn More →
Showing 1 to 13 of 13 (1 Pages)
