Question

The sides of a triangle are in the ratio 5:6:7 and its perimeter is 360 CM. Find its area

Answer 1

Answer:

2575950.31

Step-by-step explanation:

Given,

The three sides of a triangle are in the ratio 5:6:7.

Therefore ,let the sides be 5x,6x,7x cm.

Perimeter= 360 cm

Hence , 5x+6x+7x= 360

Or 18 x = 360

Or,X= 360/18= 20

Hence the three sides are 100 , 120 and 140 cm.

Semi perimeter = 100+120+140/2=180 cm

By Heron's formula,

Area= √s(s-a)(s-b)(s-c)

= √180*(180-100)(180-120)(180-140)

=√180*80*60*40

= 2575950.31( approx)