Question

Use the Pythagorean Theorem to solve for x and y below:

Answer 1

`\begin{gathered} \text{ Using the pythagorean theorem we have} \\ x^2=10^2+15^2 \\ x^2=100+225 \\ x^2=325 \\ \sqrt[]{x}^2=\sqrt[]{325} \\ x=\sqrt[]{325} \end{gathered}`
`\begin{gathered} \text{ Since we have already solved for x in the previous equation, we know that} \\ x=\sqrt[]{325} \\ \text{ we can solve for y similarly with} \\ y^2=x^2+7^2 \\ y^2=(\sqrt[]{325})^2+(7)^2 \\ y^2=325+49 \\ y^2=374 \\ \sqrt[]{y^2}=\sqrt[]{374} \\ y=\sqrt[]{374} \end{gathered}`