SOLUTION: The length of a hypotenuse of a right triangle is 16 and the length of one leg is 11, what is the length of the other leg

Question 115195: The length of a hypotenuse of a right triangle is 16 and the length of one leg is 11, what is the length of the other leg
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 11 and x with a hypotenuse of 16, 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=11, b=x, and c=16. Now lets solve for x

Square each individual term

Subtract 121 from both sides

Combine like terms

Take the square root of both sides

Simplify the square root

Which approximates to...

So our answer is

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