SOLUTION: use a Right triangle, find missing length for a. a= b=10 c=15

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Question 293358: use a Right triangle, find missing length for a.
a=
b=10
c=15
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Remember, the Pythagorean Theorem is a%5E2%2Bb%5E2=c%5E2 where "a" and "b" are the legs of a triangle and "c" is the hypotenuse.


a%5E2%2Bb%5E2=c%5E2 Start with the Pythagorean theorem.


a%5E2%2B10%5E2=15%5E2 Plug in b=10 and c=15


a%5E2%2B100=15%5E2 Square 10 to get 100.


a%5E2%2B100=225 Square 15 to get 225.


a%5E2=225-100 Subtract 100 from both sides.


a%5E2=125 Combine like terms.


a=sqrt%28125%29 Take the square root of both sides. Note: only the positive square root is considered (since a negative length doesn't make sense).


a=5%2Asqrt%285%29 Simplify the square root.



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Answer:


So the solution is a=5%2Asqrt%285%29 (which approximates to a=11.18)