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alexgriva [62]
3 years ago
7

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

Mathematics
1 answer:
Usimov [2.4K]3 years ago
8 0

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}.

Hope this helps!! Ask questions if you need!

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