Question

Find the length of the unknown side of the right triangle with sides a, b, and c, where c is the hypotenuse.

Answer 1

Answer: The lengths of the triangles with the sides a b and c can be visualized as follows:

Using the Pythagorean theorem, we can construct the following equation related to the triangle shown:

`\begin{gathered} a^2+b^2=c^2 \\ \\ \\ a=√(9) \\ b=? \\ c=9 \\ \\ \\ (√(9))^2+b^2=9^2 \\ \\ \\ b^2=9^2-(√(9))^2 \\ \\ b=√(81-9)=√(72)\approx8.4853 \end{gathered}`