SOLUTION: Find the length of X, simplify the radical expression: I will try to draw out the triangle: = = =

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Question 65697: Find the length of X, simplify the radical expression:
I will try to draw out the triangle:
=
= =
= =
10 = =
= = X
= =
= =
= ===
= = =
===================
8
These types of problems stump me everytime I try to figure them out. Thank you for the help in advance!
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Find the length of X, simplify the radical expression:
I will try to draw out the triangle:
=
= =
= =
10 = =
= = X
= =
= =
= ===
= = =
===================
8
This looks like a right triangle, we can use the pythagorean theorem: c%5E2=a%5E2%2Bb%5E2, c=hypotenuse, a and b are legs.
c=10, a=x and b=8
10%5E2=x%5E2%2B8%5E2
100=x%5E2%2B64
100-64=x%5E2%2B64-64
36=x%5E2
sqrt%2836%29=sqrt%28x%5E2%29
6=x
highlight%28x=6%29
Happy Calculating!!!