Question

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

Answer 1

From the triangle, we have:

c = 13

b = 7

Let's solve for a.

The triangle is a right triangle.

To find the length of the missing sides, apply Pythagorean Theorem:

`c^2=a^2+b^2`

We are to solve for a.

Rewrite the equation for a:

`a^2=c^2-b^2`

Thus, we have:

`\begin{gathered} a^2=13^2-7^2 \\ \\ a^2=169-49 \\ \\ a^2=120 \end{gathered}`

Take the square root of both sides:

`\begin{gathered} \sqrt[]{a^2}=\sqrt[]{120} \\ \\ a=10.95 \end{gathered}`

ANSWER:

`10.95`