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in Perimeter and Area of Plane Figures by (29.9k points)
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The sides of a triangle are in the ratio 5:12:13 and its perimeter is 150 m. Find the area of the triangle.

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Let the sides of a triangle be 5x m,12x m and 13 x m

Since, perimeter is the sum of all the sides,

5x + 12x + 13x = 150

\(\Rightarrow\) 30x = 150

Or, \(x=\frac{150}{30}=5\)

The lengths of the sides are:

a = 5 x 5 = 25 m

b = 12 x 5 = 60 m

c = 13 x 5 = 65 m

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