Question

What is the length of x

Answer 1

Immediate math help from PAID TUTORS. (paid link)Click here to see ALL problems on Triangles
  Question 118094: Find the length x in the triangle. Side 1=8. Side 2=x. Side 3=12 (Scroll Down for Answer!)Did you know that Algebra.Com has hundreds of free volunteer tutors who help people with math homework? Anyone can ask a math question, and most questions get answers!Check it Out!OR get immediate PAID help on:
Type Your Question Go!!! Answer by jim_thompson5910(34119) About Me  (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: 
a%5E2%2Bb%5E2=c%5E2 where a and b are the legs of the triangle and c is the hypotenuse 


8%5E2%2Bx%5E2=12%5E2 Plug in a=8, b=x, and c=12. Now lets solve for x 

6+4+%2B++x++%5E+2+=+1+4+4 Square each individual term 
 


+x++%5E+2+=+1+4+4+-+6+4 Subtract 64 from both sides 

+x++%5E+2+=+8+0 Combine like terms 

s+q+r+t+%28++x++%5E+2+%29+=+s+q+r+t+%28+8+0+%29 Take the square root of both sides 

x=4%2Asqrt%285%29 Simplify the square root 

Which approximates to... x+=+8+.+9+4+4+2+7+1+9+0+9+9+9+9+1+6 
So our answer is x+=+8+.+9+4+4+2+7+1+9+0+9+9+9+9+1+6....