Question

The length of a leg in an isosceles right triangle is √5 cm. What is the lengthof the hypotenuse?

Answer 1

Since the right triangle is isosceles, the legs have the same length.

So the other leg is also √5 cm.

Now, to calculate the hypotenuse, we can use Pythagorean theorem:

$\begin{gathered} h^2=(\sqrt[]{5})^2+(\sqrt[]{5})^2 \\ h^2=5+5 \\ h^2=10 \\ h=\sqrt[]{10} \end{gathered}$