Answer :

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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