Question

The sides of a triangular field are in the ratios of 5:12:13 and are its perimeter is 150m find the area of a triangle

Answer 1

The area of triangle is 750m2

Answer 2

Hello Friend,
Let the 1st side of the triangle = 5x
the 2nd side of the triangle =12x
the 3rd side of the triangle = 13x
Then ,
According to the question,
5x + 12x + 13x = 150
30x = 150
So, x= 150/30
=5
Hence, the 1st side of the triangle = 5×5=25
the 2nd side of the triangle = 12×5=60
the 3rd side of the triangle = 13×5=65
Since, the triangle is a right triangle
=
${5}^{2} + {12}^{2} = {13}^{2}$
25+144=169
169=169
So, the Area of the triangle = 1/2×b×h
= 1/2 ×25×(60)
= 750 m^2
$750m ^{2}$
This is your answer.
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Hope this will help you.