The area of a triangle is 216 cm² and sides are in the ratio 3 : 4 : 5. The perimeter of the triangle is-

Question: The area of a triangle is 216 cm² and sides are in the ratio 3 : 4 : 5. The perimeter of the triangle is-

Solution:
3² + 4² = 5²

It is a right-angled triangle.
let, the sides 3x, 4x, 5x

(1/2) × 3x × 4x = 216
⇒ 12x2 = 432
⇒ x2 = 36
⇒ x = 6

perimeter = (3 × 6) + (4 × 6) + (4 × 6)
= 72 cm