Question

The perimeter of isosceles triangle is 32 m .ratio of equl side to its base is 3:2 find area of triangle

Answer 1

Answer:

~45.3 sq. m

Step-by-step explanation:

ratio of equal side to base is 3:2.

let's assume the sides of the triangle to be 3x, 3x, and 2x.(two sides are equal).

perimeter = 32m

3x + 3x + 2x = 32m

8x = 32m

x = 32/8

x = 4

base = 4×2 = 8m

each equal side = 4×3 = 12m

By Pythagoras theorem,

height of the triangle^2 = 12^2 - 4^2

=144-16

= 128

height of the triangle = ~11.3m

Area of the triangle = 1/2 ×base×height

= 1/2 × 8 × 11.3

= ~ 45.3m

sorry, couldn't explain with figure..

hope it helps!!