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Gnom [1K]
3 years ago
12

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

Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
7 0
It would have to be A if AB=3 and AC=7
olga_2 [115]3 years ago
7 0
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.
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Step-by-step explanation:

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