Respuesta :

Given:

The right triangle with side 5 cm and 5 cm.

By using the pythagorean theorem,

[tex]\begin{gathered} \text{Hypotenuse}^2=side^2+side^2 \\ \text{Hypotenuse}^2=5^2+5^2 \\ \text{Hypotenuse}^2=25+25 \\ \text{Hypotenuse}^2=50 \\ \text{Hypotenuse}^{}=\sqrt[]{25\times2}\ldots\ldots\ldots\text{ Taking square root} \\ \text{Hypotenuse}=5\sqrt[]{2} \end{gathered}[/tex]

Answer:

[tex]\text{Hypotenuse}=5\sqrt[]{2}[/tex]