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The sides of triangle are in the ratio 5 : 12 : 13 and its perimeter is 150m. Find the area of triangle.
Let the sides of the given triangle be 5x, 12x and 13x
Given,
Perimeter of the triangle = 150m
Perimeter of the triangle = (5x + 12x + 13x)
150 = 30x
Therefore,
x =
Thus,
Sides of the triangle are:
5x = 5 × 5 = 25 m
12x = 12 × 5 = 60 m
13x = 13 × 5 = 65 m
Let,
a = 25 m, b = 60 m and c = 65 m
Therefore,
s =
=
=
= 75 m
We know that,
Area of triangle =
=
=
=
=
= 25 × 5 × 3 × 2
= 750 sq m
Hence, area of triangle is 750 sq m.