Question

The lengths of the sides of the right triangle above are a, 3, and c. What is a in terms of c?

Answer 1

The expression for a in terms of c is $a^{2}= \sqrt{c^{2} -9}$. The correct option is the third option $a^{2}= \sqrt{c^{2} -9}$

Pythagorean theorem

From the question, we are to determine the expression for a in terms of c

In the given right triangle, we can write that

$c^{2} = a^{2} +3^{2}$ (Pythagorean theorem)

Thus,

$c^{2} = a^{2} +9$

$a^{2}= c^{2} -9$

$a^{2}= \sqrt{c^{2} -9}$

Hence, the expression for a in terms of c is $a^{2}= \sqrt{c^{2} -9}$. The correct option is the third option $a^{2}= \sqrt{c^{2} -9}$

Learn more on Pythagorean theorem here: https://brainly.com/question/23994492

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