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
x2+ x2= (Hypotenuse)2
x2+ x2= 50
2x2= 50
x2 = 25
x = 5
Hence, the length of each leg is 5 units.