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

$|BC| = \sqrt{58}$


EXPLANATION

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



${ |BC| }^{2} = { |AC| }^{2} + { |AB| }^{2}$
We substitute the length of the given sides to obtain,

${ |BC| }^{2} = { 7}^{2} + { 3 }^{2}$


We evaluate to obtain,

${ |BC| }^{2} = 49 + 9$


We simplify the right hand side to get,

${ |BC| }^{2} = 58$

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


$|BC| = \sqrt{58}$

The correct answer is D.