Question

Calculate the perimeter of the triangle
below.
24cm
32cm

Answer 1

The perimeter 2s = 32

So, s = 16.

One side is 15.

Let the second side be x.

So, the third side = 32 - 15 - x = 17 - x.

Area = 24 cm^2

So, 24^2 = s(s - 15)(s - x)(s - 17 + x)

So, 576 = 16(16 - 15)(16 - x)(16 - 17 + x)

So, 576 = 16*1(16 - x)( - 1 + x)

So, 576/16 = (16 - x)( - 1 + x)

So, 36 = - 16 + 17x - x^2

So, x^2 - 17x + 52 = 0

So, (x - 13)(x - 4) = 0

So, x = 13 or x = 4

So, the lengths of the remaining two sides are 4 cm and 13 cm.