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

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According to the Pythagoras theorem, we have

(Hypotenuse)2 = (Base)2 + (Height)2

Given that the two legs of a right triangle are equal and the square of the hypotenuse, which is 50

Let the length of each leg of the given triangle be x units.

Using the Pythagoras theorem, we get

x+ x= (Hypotenuse)2

x+ x= 50

2x= 50

x2 = 25

x = 5

Hence, the length of each leg is 5 units.

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