Question

Find the height of a triangle, if the area of a triangle is 25,000 cm² and base of a triangle is 5 times of height.
1. 100 cm
2. 150 cm
3. 250 cm
4. 125 cm

Answer 1

Correct Answer - Option 1 : 100 cm

Given

Area of triangle = 25,000 cm

Base of triangle = 5 × height

Formula used

Area of triangle = (1/2) × base × height

Calculation

Let the height is h

25,000 = (1/2) × 5h × h

⇒ (25,000 × 2)/5 = h²

⇒ 5,000 × 2 = h²

⇒ 10,000 = h²

⇒ 100 cm = h

∴ Height of triangle is 100 cm