Question

-Introduction to the Pythagorean TheoremFor the following right triangle, find the side length x.12D35х

Answer 1

`x=37`

Step-by-step explanation: We need to find the unknown side "x" using the Pythagorean theorem, it can be done as follows:

`\begin{gathered} \text{Pythagorean Theorem says:} \\ a^2+b^2=c^2 \\ a=35 \\ b=12 \\ x=c \\ \therefore\rightarrow \\ a^2+b^2=c^2\rightarrow(35)^2+(12)^2=x^2 \\ x=\sqrt[]{(35)^2+(12)^2}=\sqrt[]{1225+144}=\sqrt[]{1369}=37 \\ \therefore\rightarrow \\ x=37 \end{gathered}`