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

sol: Let

We have, AB = AC = 12cm ...(Given)

Now, AB + AC + BC = 30 ...(Given, perimeter = 30cm)

i.e.,
12 + 12 + BC = 30

i.e., BC = 30 - 24

So, BC = 6cm

Now, we know that,

Therefore,

Now, Area of triangle =

=

=

=