Question

A semi perimeter of an isosceles triangle is 21 cm and its base ie 3/2 of its equal sides. Find the length of each side and area of triangle.

Answer 1

Semi perimeter = 21 cm
1 side = x
2 side = x
3 side = 3/2 x
According to question,
x+x+3/2x
--------------- = 21
2

4/2x+3/2x
----------------- = 21
2

7/2x
-------- = 21
2

7x = 21
x = 21
------- = 3
7

First side = 3cm
Second side = 3 cm
Third side = 3/2 × 3 = 4.5 cm

your answer is 27root 21