Triangles

Q. If the lengths of the sides of a triangle are 9 cm, 12 cm, and 15 cm, what type of triangle is it?

Solution

It is a right triangle because 9² + 12² = 15² (81 + 144 = 225).

Correct Answer: D — Right

Q. In a triangle, if one angle is 45° and the other is 55°, what is the third angle?

Solution

The sum of angles in a triangle is 180°. Third angle = 180° - 45° - 55° = 80°.

Correct Answer: B — 90°

Q. In a triangle, if one side is 10 cm and the other two sides are 7 cm and 5 cm, can this triangle exist?

Solution

No, because the sum of the lengths of the two shorter sides (7 + 5 = 12) must be greater than the length of the longest side (10).

Correct Answer: B — No

Q. In a triangle, if the lengths of two sides are 7 cm and 24 cm, what is the maximum possible length of the third side?

Solution

The maximum length of the third side is less than the sum of the other two sides: 7 + 24 = 31 cm.

Correct Answer: B — 25 cm

Q. The lengths of the sides of a triangle are in the ratio 3:4:5. If the perimeter is 36 cm, what is the length of the longest side?

Solution

Let the sides be 3x, 4x, and 5x. Then, 3x + 4x + 5x = 36; 12x = 36; x = 3. Longest side = 5x = 15 cm.

Correct Answer: B — 15 cm

Q. What is the height of a triangle with a base of 8 cm and an area of 32 cm²?

Solution

Area = 1/2 * base * height; 32 = 1/2 * 8 * height; height = 32 / 4 = 8 cm.

Correct Answer: A — 4 cm

Q. What is the perimeter of an equilateral triangle with a side length of 6 cm?

Solution

Perimeter = 3 * side = 3 * 6 = 18 cm.

Correct Answer: B — 18 cm

Showing 1 to 7 of 7 (1 Pages)