Question

36) The length of the sides of a triangle are in the ratio 3/4 / 5 and its perimeter is 96 cm. The area of the triangle is A) 640 cm ^ 2 B) 384 cm ^ 2 C) 96 cm ^ 2 D) 480 cm ^ 2​

Answer 1

Step-by-step explanation:

perimeter=96

3x+4x+5x = 96

x=8

sides are 24,32,40

1st method:

These are sides of right angle triang le with hypotenues 40 and other sides 32,24

so area = 0.5×32×24 = 384 cm²

2nd method:

using heron formula

s=(a+b+c)/2= 48

area=√(s(s-a)(s-b)(s-c))

=√147486= 384 cm²