Question

A side of an isosceles right angled triangle is x. Find its hypotenuse.

Answer 1

Here is your answer :-

Pythagoras theorem is

H² = P²+ B²

In question ,

P = x and B = x

H² = x²+x²

H²= 2x²

H = √2x

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Answer 2

2 side of an isosceles is same.
since hypothenius is longest side hence it can't be the one of equal sides.
hence
p=x
b=x
h^2=p^2+b^2 (Pythagoras theorem)
h^2=x^2+x^2
h^2=2x^2
h=√2x^2=√2 x
hope it helped☺☺