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

Dear Student,

Please find the below required solution.

$$\begin{gathered} Consider the right △ABC, whose hypoteenuse is AC and equal side AB=BC = x \left(Assume\right) so u\sin g pythagoreas theorem, we get \\ A{B}^2+B{C}^2 =A{C}^2 \\ {x}^2+x^2 = 50 \\ 2x^2 = 50 \\ {x}^2 = 25 \\ x = \sqrt{25} \\ x = 5 cm \end{gathered}$$

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