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

Given: Perimeter of the triangle = 450 m Ratio of the sides = 12 : 5 : 13. Let the sides of triangle be 12a, 5a and 13a. Perimeter of the triangle = Sum of sides of the triangle ⇒ 12a \+ 5a \+ 13a = 450 ⇒ 30a = 450 ⇒ a = ⇒ a = 15 Thus, sides are 12 x 15, 5 x 15 and 13 x 15 m = 180 m, 75 m and 195 m The sides of the triangle are: a = 180 m, b = 75 m and c = 195 m. The semi-perimeter s: ∵ Area of triangle = = m 2 = m 2 = m 2 = 6,750 m 2 Hence, the area of the triangle is 6,750 m 2 .

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

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