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Question

The two legs of a right triangle are equal and the square of its hypotenuse is 50 cm2.Find the length of each leg.

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Solution

As the two sides are equal, And square of Hypotenuse i.e Hypotenuse ² = 50,
Let side of the triangle be x,
According to Pythagoras Theorem,
Side² + Side² = Hypotenuse²,
=> As sides are equal, Both are x
=> x² + x² = 50
=> 2x² = 50,
=> x² = 25,
=> x = +5 or -5 ,
But sides can't be negative,
So the length of the legs is +5

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