Question

the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 150 m. Find the area of the triangle

Answer 1

Sides of a triangle are 5:12:13
Let the sides are 5x 12x and 13x
Perimeter = 150m.
Perimeter = Sum of all sides
150= 5x+12x+13x
150=30x
x=150/30
x=50
Semi perimeter= 50/2= 25
By Herons formula
Area of triangle = underoot 25(25-5)(25-12)(25-13)
= underoot 25×20×13×12
= underoot 78000
=2×2×2×2×5×5×5×3×13
=2×2×5underoot 5×3×13
= 20underoot 195

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Answer 2

hey mate.
here is the solution