#### Question

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

#### Solution

It is given that, a side of an isosceles right angled triangle is x.

Then, the other side of the triangle is also x.

According to Pythagoras theorem.

\[\left( \text{Hypotenuse} \right)^2 = x^2 + x ^2 \]

\[ = 2 x^2 \]

\[ \therefore \text{Hypotenuse} = \sqrt{2}x\]

Hence, its hypotenuse is\[\sqrt{2}x\]

Is there an error in this question or solution?

Solution A Side of an Isosceles Right Angled Triangle is X. Find Its Hypotenuse. Concept: Apollonius Theorem.