SOLUTION: Find the length x in each triangle. Express your answer in simplified radical form. Around the triangle the numbers are 10, x, & 8. thank you.

Algebra ->  Radicals -> SOLUTION: Find the length x in each triangle. Express your answer in simplified radical form. Around the triangle the numbers are 10, x, & 8. thank you.      Log On


   



Question 30933This question is from textbook Beginning Algebra w/MathZone
: Find the length x in each triangle. Express your answer in simplified radical form.
Around the triangle the numbers are 10, x, & 8.
thank you.
This question is from textbook Beginning Algebra w/MathZone

Answer by kietra(57) About Me  (Show Source):
You can put this solution on YOUR website!
I assume your triangle looks like this and has a right angle:

10/|
/ |||x
-----
8
If I assumed incorrectly, then please provide more information otherwise to solve for x, you will need to use the pythagorean theorem where a^2 + b^2 = c^2 and c is the hypotenuse.
In this case, our "a" is 8, "b" is x, and "c" is 10. Substitute and solve for x:
8^2 + x^2 = 10^2
64 + x^2 = 100
x^2 = 100 - 64
x^2 = 36
x = 6