Question

1:√2:1 are the sides of a triangle. Show that it is a right angled triangle.

Answer 1

Let sides be taken as x , √2x and x

In a right angle triangle we know that, p^2 + b^2 = h^2

if p=x, b=x, h=√2x be taken

then p^2 + b^2 = x^2+x^2 = 2x^2 = h^2

hence the triangle is a right angle triangle Proved