. 25 points .please help Pythagoras theorem.

Answer:
Step-by-step explanation:
The bottom leg is divided into equal segments, one of them is b.
It means the bottom leg is b + b = 2b.
According to Pythagorean:
Solve for b:
Step-by-step explanation:
[tex]here \: oy = ox = b\\ then \: xy = b + b = 2b \\ using \: pythagorean \: theorom \: \\ {(xy)}^{2} = {(xz)}^{2} - {(zy)}^{2} \\ {(2b)}^{2} = {41}^{2} - {9}^{2} \\ 4 {b}^{2} = 1681 - 81 \\ 4 {b}^{2} = 1600 \\ {b}^{2} = 1600 \div 4 = 400 \\ b = \sqrt{400} = 20 \\ thank \: you[/tex]