# 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.

Please find the below required solution.

$Considertheright\u25b3ABC,whosehypoteenuseisACandequalsideAB=BC=x\left(Assume\right)sou\mathrm{sin}gpythagoreastheorem,weget\phantom{\rule{0ex}{0ex}}A{B}^{2}+B{C}^{2}=A{C}^{2}\phantom{\rule{0ex}{0ex}}{x}^{2}+{x}^{2}=50\phantom{\rule{0ex}{0ex}}2{x}^{2}=50\phantom{\rule{0ex}{0ex}}{x}^{2}=25\phantom{\rule{0ex}{0ex}}x=\sqrt{25}\phantom{\rule{0ex}{0ex}}x=5cm$

Hope this information will clear your doubts about given problem.

If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.

Regards

**
**