The calculated length of the segment BA is 13.3
How to determine the length of the segment BA
From the question, we have the following parameters that can be used in our computation:
The right triangle
Also, we have
AD = 8, DC = 6, and AC = 10
Start by calculating BD using
BD = AD²/DC
So, we have
BD = 8²/6
BD = 10.67
Next, we have
AB² = BC² - AC²
AB² = (10.67 + 6)² - 10²
AB² = 177.89
Evaluate
AB = 13.3
Hence, the length of the segment BA is 13.3