Question

ABC is a right triangle. If AB=3 and AC=7, find Bc. Leave your answer in simplest radical form.

Answer 1

It would have to be A if AB=3 and AC=7

Answer 2

ANSWER


`|BC| = √(58)`


Step-by-step explanation

Since the given triangle has a right angle, we can apply the Pythagorean Theorem to obtain,




`^(2) = ^(2) + ^(2)`
We substitute the length of the given sides to obtain,


`BC^(2) = { 7}^(2) + { 3 }^(2)`


We evaluate to obtain,


`^(2) = 49 + 9`


We simplify the right hand side to get,


`^(2) = 58`

We take the positive square root of both sides to get,



`|BC| = √(58)`

The correct answer is D.