Q. 2 E4.0( 11 Votes )

# Solve the following examples.A side of an isosceles right angled triangle is x. Find its hypotenuse.

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 = x2 + x2

(Hypotenuse)2 = 2x2

Hypotenuse = x2

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