the length of the sides of a triangle are in ratio 3:4:5 and the perimeter is 144cm. find the area of triangle
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let ,side be 3x,4x,5x
perimeter =sum of sides
144cm=12x
x =144/12
x =12
now sides are =36,48,60
putting on herons formula
sum of sides /2
36+48+60/2
144/2
72
now ,
√s(s-a)(s-b)(s-c)
=√72(72-36)(72-48)(72-60)
√72×36×24×12
=√746496
=864
perimeter =sum of sides
144cm=12x
x =144/12
x =12
now sides are =36,48,60
putting on herons formula
sum of sides /2
36+48+60/2
144/2
72
now ,
√s(s-a)(s-b)(s-c)
=√72(72-36)(72-48)(72-60)
√72×36×24×12
=√746496
=864
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