Question

explain in words how to find the missing sides of an isoceles right triangle when given the length of one of the legs

Answer 1

Since the triangle is a right isosceles triangle, the legs have the same length, so the other leg will have the same length of the given leg.

Then, in order to find the measure of the third side (that is, the hypotenuse), we can use the Pythagorean theorem.

So, for example, if the given leg measures x, the second leg is also x, and the hypotenuse is:

`\begin{gathered} h^2=x^2+x^2 \\ h^2=2x^2 \\ h=x\sqrt[]{2} \end{gathered}`