Question

the perimeter of the isosceles triangle is 32cm. the ratio of equal side to the base is 3:2 using heron's formula, find the Area of triangle.

Answer 1

Hello friend
----------------------------------------------------------------------------------------------------
32 = 3x + 2x + 3x

32 = 8x

4 = x

3x = 3 × 4 = 12

2x = 2 × 4 = 8

3x = 3 × 4 = 12

2s = 32

s = 16

s - a = 16 -12 = 4

s - b = 16 - 8  = 8

s - c = 16 -12 = 4

√s(s-a) (s-b) (s-c)

√16 × 4 × 8 × 4

32√2

32 × 1.414

45.248

45.3m²
-------------------------------------------------------------------------------------------------
Hope it will help you

thanks,

Swapnil756   Core