An isosceles triangle has perimeter 30cm and each of its equal sides is 12cm. Find the area of the triangle.

Question

Philoid · Accepted Answer

It is given in the question that,

Equal sides of isosceles triangle = a = b = 12 cm

Also, perimeter = 30 cm

We know that perimeter of triangle = Sum of all sides

(a + b + c) = 30 cm

12 + 12 + c = 30

24 + c = 30

c = 30 – 24

= 6 cm

Hence, s =

s =

s = 15 cm

∴ Area of triangle =

=

= 9 cm²