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Find the exact length of the third side....

Question

Find the exact length of the third side.

Find the exact length of the third side.



Answers

Determine the length of the third side of the right triangle. Write the answer as a simplified radical. (RIGHT TRIANGLE CAN'T COPY)

We are given a triangle, a right triangle. We need to find the length of the missing side, so that means we can use Pythagorean theorem. So a squared plus B squared is equal to C. Squared C is always across the right angle. So are seven is R C. That's the only variable that matters. So a squared plus three squared is equal to seven squared, so that becomes a squared. Plus nine is equal to 49. We subtract nine from both sides and we get a squared is equal to 40. But we don't want a square, so we're going to take the square root of both sides so we get A is equal to the square root of 40. The square to 40 can simplify into the square to four times a square to 10. The square root of four simplifies further and to be to the square at a 10, so the length of our missing side is two times the square root of 10 inches long.


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