Q. 74.0( 16 Votes )

# If the length of

Answer :

Given, length of hypotenuse of an isosceles triangle = 12√ 2 cm

Let the equal sides of the isosceles right-angled triangle be x cm

But according to the Pythagoras theorem

⇒ x^{2} +x^{2} = (12√ 2)^{2}

⇒ 2x^{2} = 144 × 2

⇒ x = √ 144

⇒ x = 12 cm

Area of isosceles right-angled triangle

= where x is the equal side of isosceles triangle

Area =

=

=72 cm^{2}

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