SOLUTION: Find the hypotenuse of a right triangle with sides 5 inches and 10 inches.

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Question 169783: Find the hypotenuse of a right triangle with sides 5 inches and 10 inches.
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Find the hypotenuse of a right triangle with sides 5 inches and 10 inches.
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=
= inches

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
We basically have this triangle set up:


Since we can see that the triangle has legs of 5 and 10 with a hypotenuse of x, we can use Pythagoreans theorem to find the unknown side.


Pythagoreans theorem:

where a and b are the legs of the triangle and c is the hypotenuse



Plug in a=5, b=10, and c=x. Now lets solve for x


Square each individual term



Combine like terms


Take the square root of both sides


Simplify the square root. Note: only the positive square root is considered

So the answer is


Which approximates to


So the hypotenuse is approximately 11.18034 inches
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