Question

The sides of a triangle are in the ratio 5:7:8 and its perimeter is 300 cm. Find its area

Answer 1

Step-by-step explanation:

let the sides be 5x,7x and 8x.

5x+7x+8x= 300

20x= 300

x= 15

sides are 75 cm, 105 cm and 120 cm

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

s= a+b+c/2= 150 cm

Area of triangle = √150×75×45×30

= 5×5×5×2×3×3 √3

= 2250√3 cm²