SOLUTION: Find the length x in the triangle. Express your answer in simplified radical form. Side 1=10. Side 2=8. Side 3=x

Question 118091: Find the length x in the triangle. Express your answer in simplified radical form. Side 1=10. Side 2=8. Side 3=x
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'm assuming that the triangle is a right triangle and that side 3 is the hypotenuse.

We basically have this triangle set up:

Since we can see that the triangle has legs of 10 and 8 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=10, b=8, 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

Which approximates to...

So our answer is

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