The height should be 2 meters less than the base. The area of the triangle should be 12 square meters. What should be the length of its sides?

Question

An isosceles triangle has to be made like this

The height should be 2 meters less than the base. The area of the triangle should be 12 square meters. What should be the length of its sides?

Answer 1

Base = AB = x 

Height = CD = x – 2

Area = \(\frac{1}{2}\times x(x-2)=12\)

\(x^2-2x=24\)

\((x-1)^2=25\)

\(x-1=\pm 5\)

\(x-1=5,x=6\,;\,AC=BC\)

= \(\sqrt{4^2+3^2}=5\)

Base = 6m, Height = 4m Edges = 5cm