Question

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

Answer 1

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Answer 2

perimeter = 450
sides in ratio = 12:5:13
suppose the sides in ratio =12x , 5x ,13x
12x + 5x + 13x = 450 ( perimeter of triangle )
30x = 450
x =450/30
x =15

1st side = 12x = 12*15 = 180 m
2nd side = 5x = 5*15 = 75m
3rd side = 13x = 13*15 = 195m

find s,
we know that s = a+b+c/2 ( semi - perimeter )
180+75+195/2 = 450/2
= 225

area of triangle = √s(s-a)(s-b)(s-c)
= √ 225(225-180)(225-75)(225-195)
= √ 225*45*150*30
= √45562500
= 6750m square ans