Question

$→In \: an \: isosceles ,\: right \: triangle \: if \: hypotenuse \: is \\ 6√2 \: cm. \: find \: the \: length \: of \: each \: equal \: side \: of \: \\ the \: triangle.$

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Answer 1

Answer:

please refer to the image

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Answer 2

In an isosceles right angled triangle, the two sides on the right angle are equal .

Let the equal side be a

Hence, hypotenuse of the isosceles right angled triangle of side a =

$\sf{ \sqrt{ {a}^{2} + {a}^{2} } = \sqrt{2}a}$

Given, hypotenuse of the triangle =6√2cm

=> √2a = 6√2 cm

=> a = 6cm

$\boxed{\huge\sf{a = 6cm}}$

Sides of the triangle are 6cm