Find the exact length of the third leg

6^2+x^2=8^2 so 64-36=28. So that’s the answer

First of all, we are going to use Pythagorean theorem ( a^2+ b^2=c^2 ) to find x, the third leg. We know a=6 and c=8, we are looking for b, so we plug in the numbers. 6^2+ b^2=8^2. We simplify and get 36+ b^2= 64. Afterwards, we subtract 36 from both sides to isolate b^2. We get that b^2= 28. We then square root both sides (√b and √28), to isolate b, and we get that b= 5.291502622129181. Rounding to the nearest hundredths the answer is 5.29.