SOLUTION: For the following right angle, find the side length x round to the nearest tenth the numbers are x hypotunuse 12 side 10 side

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Question 251800: For the following right angle, find the side length x round to the nearest tenth
the numbers are
x hypotunuse
12 side
10 side
Found 2 solutions by jim_thompson5910, checkley77:
Answer by jim_thompson5910(35256) About Me  (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 a%5E2%2Bb%5E2=c%5E2 where "a" and "b" are the legs of a triangle and "c" is the hypotenuse.


Since the legs are 12 and 10 this means that a=12 and b=10


Also, since the hypotenuse is x, this means that c=x.


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


12%5E2%2B10%5E2=x%5E2 Plug in a=12, b=10, c=x


144%2B10%5E2=x%5E2 Square 12 to get 144.


144%2B100=x%5E2 Square 10 to get 100.


244=x%5E2 Combine like terms.


x%5E2=244 Rearrange the equation.


x=sqrt%28244%29 Take the square root of both sides. Note: only the positive square root is considered (since a negative length doesn't make sense).


x=2%2Asqrt%2861%29 Simplify the square root.


x=15.6205 Approximate the right side with a calculator.


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Answer:


So the solution is approximately x=15.6205 which means that the hypotenuse is roughly 15.6 (rounded to the nearest tenth) units long.

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
A^2+B^2=C^2
10^2+12^2=X^2
100+144=X^2
X^2=244
X=SQRT244
X=15.6 ANS.