Question

The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3:2 Find the Area of the triangle.
please send me answer fast​

Answer 1

Answer:

32√2cm²

Step-by-step explanation:

P=32cm

Let the sides be 3x, 3x, 2x.

$3x+3x+2x=32\\8x=32\\x=4\\3x=12\\2x=8$

The sides are 12cm, 12cm, 8cm

To find the area I'm using heron's formulae

$s=12+12+8/2\\=32/2\\=16$

Area = √s(s-a)(s-b)(s-c)

=√16*4*4*8

=4*4*2√2

=32√2cm²

∴ The area of the triangle is 32√2cm²