Question

Sides of a triangle are in the ratio of 12:17:25:and it's perimeter is 540cm. Find its area
give correct method

Answer 1

Answer

12x+17x+25x=540

54x=540

x=540/54(transposition)

x=10cm

Therefore sides are 120cm 170cm and 250cm

By Heron’s formula whole root of s*(s-a)*(s-b)*(s-c)

Where s is the semiperimeter of the triangle that is a+b+c/2

A=120

B=170

C=250

120+170+250/2=540/2=270

Whole root of 270*(270-120)*(270-170)*(270-250)

Therefore

Whole root of 270*150*100*20

Whole root of (9*30)*(25*6)*(100)*(2*10)

3*5*10*root of 30*6*2*10

150*root of 3600

150*60

9000cm^2

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