Question

Find the missing leg of the triangle using the Pythagorean Theorem. Show your work

Answer 1

Answer:

10.95 or $2\sqrt{30}$

Step-by-step explanation:

The Pythagorean Theorem is as follows:

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

A and B represent the legs of the triangle, and C represents the hypotenuse.

For this problem, it gives us the legs. So, we have to find the hypotenuse.

Plug the values of the legs into the equation:

$6^{2} +8^{2}= c^{2}$

Now solve the equation to find the hypotenuse:

$36 + 64 = c^{2}$                              Distribute the squares

$120 = c^{2}$                                     Add

$\sqrt{120}= \sqrt{c^{2} }$                              Square root both sides

c = 10.95 or $2\sqrt{30}$

Therefore the length of the missing leg is 10.95 or $2\sqrt{30}$.

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