# 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(31521)   (Show Source): You can put this solution on YOUR website!Find the hypotenuse of a right triangle with sides 5 inches and 10 inches. ------------------ = = inches Answer by jim_thompson5910(28715)   (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