Q. 2 E4.0( 11 Votes )

# Solve the following examples.

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

Answer :

In a right-angled triangle

By Pythagoras theorem

(Hypotenuse)^{2} = (base)^{2} + (Perpendicular)^{2}

As, the triangle is isosceles

Base = Perpendicular = x

[Hypotenuse can't be equal to any of the sides, because hypotenuse is the greatest side in a right-angled triangle and it must be greater than other two sides]

⇒ (Hypotenuse)^{2} = x^{2} + x^{2}

⇒ (Hypotenuse)^{2} = 2x^{2}

⇒ Hypotenuse = x√2

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