Question

the sides of a triangle are in the ratio 12:17:25 and its perimeter is 540 cm find its area

Answer 1

Answer:

Perimeter of the triangle = 540 cm 

∴   12x + 17x + 25x = 540   

⇒  54x = 540    ⇒   x = 10

 Let  a = 12x = 12 x 10 = 120 cm

b = 17x = 17 x 10 = 170 cm 

c = 25x = 25 x 10 = 250 cm

s = (a + b + c)/2 =  (120 + 170 + 250)/2 = 540/2

= 270 cm

∴   Area of triangle  =  root under (√s(s -a) (s -b)(s -c))

=  root under (√270(270 - 120)(270 - 170)(270 - 250))  

=   root under (√270 x 150 x 100 x 20) 

= 100 under root(√27 x 15 x 20)

= 100 x 9 x 5 x 2  

= 9000 cm2

Step-by-step explanation:

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