Question

O GEOMETRYPythagorean TheoremFor the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Answer 1

The Pythagorean Theorem states:

`x^2+y^2=h^2`

Where x and y are the legs of the right triangle and h is the hypotenuse.

In the figure, we can see y=6 and h=7.

Replace these values and solve for x:

`\begin{gathered} x^2=h^2-y^2 \\ x^2=7^2-6^2 \\ x^2=49-36=13 \\ x=\sqrt[]{13}=3.61 \end{gathered}`

Therefore, the side length x is 3.61