SOLUTION: find the length of the hypotenuse of the right triangle, side a=25, side b=12
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Question 316018: find the length of the hypotenuse of the right triangle, side a=25, side b=12
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
We basically have this triangle set up:
To find the unknown length, we need to use the Pythagorean Theorem.
Remember, the Pythagorean Theorem is where "a" and "b" are the legs of a triangle and "c" is the hypotenuse.
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).
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Answer:
So the solution is which approximates to .
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