Respuesta :

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

[tex] |BC| = \sqrt{58} [/tex]


EXPLANATION

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



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

[tex] { |BC| }^{2} = { 7}^{2} + { 3 }^{2} [/tex]


We evaluate to obtain,

[tex] { |BC| }^{2} = 49 + 9[/tex]


We simplify the right hand side to get,

[tex] { |BC| }^{2} = 58[/tex]

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


[tex] |BC| = \sqrt{58} [/tex]

The correct answer is D.

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