Question

The base and height of a triangle are in the ratio 3 : 4. If the area is 150 cm², its height in cm is:
1. 20
2. 5
3. 15
4. 12

Answer 1

Correct Answer - Option 1 : 20

Given:

Ratio of base and height of the triangle is 3 : 4 and area of the triangle is 150 cm²

Concept Used:

If base of a triangle is 'b' and height be 'h' then area of the triangle is (1/2) × b × h

Calculation:

Ratio of base and height of the triangle is 3 : 4

Let, base be 3x and height be 4x

Accordingly,

(1/2) × 3x × 4x = 150

⇒ 6x² = 150

⇒ x² = 25

⇒ x = 5

Height of the triangle is 4x = 4 × 5 = 20 cm

∴ The height of the triangle in cm is 20 cm.