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Question

The perimeter of triangle is 450. And is sides are in ratio 12:13:5. Find its area

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Solution

perimeter = sum of sides

let x be the variable

. the given ratio is 12:13:5 .

therefore the sum of the sides = 13x+12x+5x .

perimeter = 30x . given perimeter = 450 .

30x = 450 x =15m

. the sides are 12*15, 13*15, 5*15.

it is a right angle triangle since 13^2 = 12^2 + 5^2 .

Area = 1/2*b*h = 1/2*12*15*5*15 = 6750sq m

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