Question

Find the length of the third side. If necessary, round to the nearest tenth.1014

Answer 1

We are given a right-angled triangle.

Two sides are given and the third side is unknown.

Since it is a right-angled triangle, we can apply the Pythagorean theorem given by

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

Where c is the longest side, a and b are the shorter sides.

For the given case, we are given the longest side and one shorter side.

`\begin{gathered} c^2=a^2+b^2 \\ a^2=c^2-b^2 \\ a^2=14^2-10^2 \\ a^2=196-100 \\ a^2=96 \\ a=\sqrt[]{96} \\ a=9.8 \end{gathered}`

Therefore, the length of the third side is 9.8