Question

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

Answer 1

10.95 or
`2√(30)`

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

`√(120)= \sqrt{c^(2) }` Square root both sides

c = 10.95 or
`2√(30)`

Therefore the length of the missing leg is 10.95 or
`2√(30)`.

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