The perimeter of a triangle field is 450 m and its sides are in the ratio 13 : 12 : 5. Find the area of triangle.

### Asked by Topperlearning User | 14th Mar, 2014, 08:07: AM

Expert Answer:

Let_{ a,b,c} be the sides of a triangle in the ratio 13 : 12 : 5

a:b:c = 13 : 12 : 5 =>a=13x, b=12x, c=5x

_{} Perimeter =13x+12x+5x=450 => 30x=450

_{}

_{}

_{}

_{}

Given that 2s = 450;

S = 225

Hence, area of triangle =

_{}=_{} =

_{} =

_{} =

_{} = 5

^{3}×3^{3}× 2 = 6750 m^{2}### Answered by | 14th Mar, 2014, 10:07: AM

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