Question

A C, С B, AC = 10 BC = 15 What is the length of AB? Round your answer to the nearest tenth, if necessary. Figure is not drawn to scale

Answer 1

You have a right triangle and the length of the legs, use Pythaorean theorem to find the length of the hypotenuse (AB)

`\begin{gathered} AB^2=AC^2+BC^2 \\ \\ AB=\sqrt[]{AC^2+BC^2} \\ AB=\sqrt[]{10^2+15^2} \\ AB=\sqrt[]{100+225} \\ AB=\sqrt[]{325} \\ AB=18 \end{gathered}`Then, the length of AB is 18