Q8 of 34 Page 252

In an isosceles right triangle, the length of the hypotenuse is 4√2 cm. The length of each of the equal sides is

For a right-angled triangle,

Applying Pythagoras theorem,


(hypotenuse)2 = (base)2 + (perpendicular)2


Since triangle is isosceles.


So, base = perpendicular = x (let’s say)


Hence (hypotenuse)2 = (x)2 + (x)2


(4√2)2 = 2x2


32 = 2x2


x2 = 16


so, x = 4 cm.

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