Question

The perimeter of an isosceles triangle is 32 cm. The ratio of the equal I side to its base is 3: 2. Find the area of the triangle.

Answer 1

Let, the sides are 3x, 3x and 2x

Then, perimeter :

3x+3x+2x = 32 cm

=> 8x = 32

=> x = 4

Then sides are : 3x = 3×4 = 12 and 12 cm

2x = 2×4 = 8 cm.

Now, Area :

$\frac{1}{2} \times 8 \times 12 \\ \\ = > 48 \: {cm}^{2}$