Question

ХThe length of the hypotenuse of a 45°-45°-90° triangleis 10. What is the length of one leg?Hypotenuse = V2 Leg Use the 45°-45°-90° TriangleTheoremh=Edit my response45

Answer 1

We have the following:

As the angles are equal, that is, both 45 °, the legs will be equal, therefore, by means of the Pythagroma theorem we can calculate the measure of the legs just like this

`\begin{gathered} h^2=a^2+b^2 \\ a=b \\ h^2=a^2+b^2 \\ h^2=2a^2 \\ 2a^2=10^2 \\ a^2=(100)/(2) \\ a=\sqrt[]{50} \\ a=5\sqrt[]{2} \\ b=5\sqrt[]{2} \end{gathered}`