Question

Pythagorean theorem * solve for x ( leave response in simplest radical form ) .

Answer 1

To solve the problem for x by using the Pythagorean theorem, we will find a right triangle in the given problem to apply this theorem, as follows:

In the new figure above, we have a right triangle with two legs equal to 10 and 4, and a hypotenuse equal to x.

No, we apply the Pythagorean theorem to find x, as follows:

`\begin{gathered} l_1²+l_2²=h² \\ \\ 4²+10²=x² \\ \\ x²=100+16 \\ \\ x=√(116) \\ \\ x=√(29\cdot2²) \\ \\ x=2√(29) \end{gathered}`