SOLUTION: Find the length x in the triangle. Side 1=8. Side 2=x. Side 3=12

Question 118094: Find the length x in the triangle. Side 1=8. Side 2=x. Side 3=12
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 8 and x with a hypotenuse of 12, 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=8, b=x, and c=12. Now lets solve for x

Square each individual term

Subtract 64 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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