Question

The lengths of the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter

is 150 cm . Find the area of the triangle.


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Answer 1

5x+12x+13x = 150

30x = 150

x = 150/30

x = 5

Therefore the sides are 5x=5x5=25cm,12x=12x5=60cm,13x=13x5=65cm.

Area of triangle = √s(s-a)(s-b)(s-c)

s= a+b+c/2

s=25cm+60cm+65cm/2

s=150cm/2

s=75cm

so,√75(75-25)(75-60)(75-65)

=√75(50)(15)(10)

=64951.90cm²