Question

find the area of equilateral triangle whose sides are a+b, 2b-a+5,2a-b+2

Answer 1

In equilateral triangle all sides are equal.

Therefore,a+b=2b-a+5

a+b-2b+a= 5

2a-b=5

Putting the value of 2a-b in third side

We get,7

So each side of equilateral triangle is 7

Area =√3/4a^2

√3/4×49=49√3/4squnits