SOLUTION: I would like to know how you would find a,b,c, on the special relationships.Like for ex. 8(times square root 3), 24, and 16( times square root 3). How would you find the answer 24.

Algebra ->  Pythagorean-theorem -> SOLUTION: I would like to know how you would find a,b,c, on the special relationships.Like for ex. 8(times square root 3), 24, and 16( times square root 3). How would you find the answer 24.      Log On


   

Question 9818: I would like to know how you would find a,b,c, on the special relationships.Like for ex. 8(times square root 3), 24, and 16( times square root 3). How would you find the answer 24. Your help would be greatly appreciated.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If a+=+8sqrt%283%29
and b+=+24
and c+=+16sqrt%283%29 then:
b+=+sqrt%28c%5E2+-+a%5E2%29
Check:
24+=+sqrt%28%2816sqrt%283%29%29%5E2+-+%288sqrt%283%29%29%5E2%29
24+=+sqrt%28256%283%29+-+64%283%29%29
24+=+sqrt%28768+-+192%29
24+=+sqrt%28576%29
24+=+24