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.

Answer 1

Answer:

The ratio of the equal side to the base is 3:2.

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

Given, perimeter =32

We know that the perimeter is equal to the sum of the sides. Thus,

⇒3x+2x+3x=32

⇒8x=32

⇒x=4

⇒

2

32

=16

Thus, the sides are 12 cm, 8 cm, 12 cm

Thus, Area of the triangle =

2

32

(16−12)(16−8)(16−12)

=

16×4×8×4

=32

2

cm

2