SOLUTION: Find length x in each triangle. Express your answer in simplified radical form. x/

SOLUTION: Find length x in each triangle. Express your answer in simplified radical form. x/ | /|||8 ----- 5

Question 109598: Find length x in each triangle. Express your answer in simplified radical form.
x/ |
/|||8
-----
5

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 5 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=5, 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

Which approximates to...

So our answer is

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