Question

The perimeter of a triangular field is 450 m and its sides are in the ratio 13 : 12 :5. find the area of triangle.

Answer 1

Let sides are 12x, 13x and 5x.

As 12,13 and 5 are pythagorean triplets, it is a right angled triangle.

Given that perimeter = 450m

→ 12x + 13x + 5x =450

→ 30x =450

→ x = (450/30) = 15

As it is a right angled triangle, area of triangle is (1/2) * base * height = (1/2) * product of small sides

→ Area = (1/2) * 12x * 5x

→ Area = 6 * 5 * x * x = 30 x²

→ Area = 30(15)² = 30(225) = 6750 m²

Area is 6750 m²

Answer 2

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