Question

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

Answer 1

Answer:

32√2 cm^2

Step-by-step explanation:

let the equal sides be 3x and the base be 2x

atp :

3x +3x +2x =32

or 8x = 32

or x= 4

so the sides are 12 cm ,12cm and 8cm

semiperimeter : 32÷2 =16

area: √s(s-a)(s-b)(s-c) cm ^2

= √16(16-12)(16-12)(16-8)

=√16 ×4×4×8cm^2

= 4 ×4 ×2×√2

=32√2 cm^2