Question

the square of the hypotenuse of an isosceles right triangle is 50 (square units). find the length of a leg.

Answer 1

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Answer 2

Given that Square of hypotenuse of an isosceles right triangle is 50 sq.units.

An isosceles triangle has two equal side lengths.

Let the length of a leg is 'x'.

⇒ x^2 + x^2 = 50

⇒ 2x^2 = 50

⇒ x^2 = 25

⇒ x = √25

⇒ x = 5.

Therefore, length of a leg = 5 sq.units.

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