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