SOLUTION: Find the unknown side of the right triangle. Round to the nearest thousandths. One side is 9yd, the other side is 12 yd.

Question 179419: Find the unknown side of the right triangle. Round to the nearest thousandths. One side is 9yd, the other side is 12 yd.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'm assuming that the missing side is the hypotenuse.

So we basically have this triangle set up:

Since the legs are and this means that and

Also, since the hypotenuse is , this means that .

Start with the Pythagorean theorem.

Plug in , ,

Square to get .

Square to get .

Combine like terms.

Rearrange the equation.

Take the square root of both sides. Note: only the positive square root is considered (since a negative length doesn't make sense).

Simplify the square root.

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Answer:

So the solution is which means that the length of the missing side is 15 yards.

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