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)   (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).


Simplify the square root.


Approximate the right side with a calculator.


================================================================


Answer:


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

Answer by checkley77(12844)   (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.

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