Question

The base and height of a triangle are in the ratio 3 : 4 and its area 216 cm². The height of the triangle is ______.

Options

• 18 cm

• 24 cm

• 21 cm

• 28 cm

Answer 1

The base and height of a triangle are in the ratio 3 : 4 and its area 216 cm². The height of the triangle is 24 cm.

Explanation:

Let the base be 3x cm and height be 4x cm.

Then, `1/2 xx 3x xx 4x = 216`

⇒ x² = 36

⇒ x = 6

∴ Height = (4 × 6) cm

= 24 cm