Question

ХThe length of the hypotenuse of a 45°-45°-90° triangleis 10. What is the length of one leg?

Answer 1

the two legs will have the same measure so we can use pytagoras and solve

`H=\sqrt[]{2}* l`

replace the value of H

`10=\sqrt[]{2}* l`

and solve for l

`\begin{gathered} l=\frac{10}{\sqrt[]{2}} \\ \\ l=5\sqrt[]{2}\approx7.07 \end{gathered}`

the length of one leg is five roof of two or 7.07