# In triangle ABC, angle A=angle B. If AB square=2AC square, prove that ABC is right angled triangle.

2
by namannagpal

Log in to add a comment

by namannagpal

Log in to add a comment

which means BC=AC

AB^2=2AC^2......(given)

AB^2=AC^2+AC^2

AB^2=AC^2+BC^2

but this is Pythagoras theorem

therefore ∆ABC is right angled triangle with AB as hypotenuse