use the geometric mean theorems to find AC and BD. BA=20 BC=15

Step-by-step explanation:
first, you use the pythagorean theorem to find the missing side of the original and big triangle.
[tex]20 {}^{2} + 15 {}^{2} [/tex]
next, you simplify these into actual numbers
[tex]400 + 225[/tex]
after, you add these numbers together and find the square root.
[tex]\sqrt{625} = 25[/tex]
you have the answer for AC. next you need to find BD. of you line up BC with BD, BC would be longer, , so you know its shorter, but not by much, so I'd assume to guess like 13 for BD- that's just me- but I'm not sure how to exactly find it.