Question

Given the right triangle below, if AB = 6 and BC = 4, find AC.

Answer 1

In the right triangle ABC

AB and BC are the legs of the right angle

AC is the hypotenuse

The relationship between them is

`AC=√(AB^2+BC^2)`

Since AB = 6

Since BC = 4

Substitute them in the rule above

`\begin{gathered} AC=√(6^2+4^2) \\ \\ AC=√(36+16) \\ \\ AC=√(52) \\ \\ AC=2√(13) \end{gathered}`

The correct option is a