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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.
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