Question

What does OD=
Pls answer

Answer 1

OD = 9.375"

Explanation:

We can draw a line from O to B to create a triangle.

Then, Triangle ODB and Triangle ACB are similar, so their corresponding side's ratio are similar as well.

Triangle ACB, we can use pythagorean theorem to figure out CB:

AC^2 + CB^2 = AB^2

15^2 + CB^2 = 17^2

225 + CB^2 = 289

CB^2 = 64

CB = 8

Now relating the corresponding sides, we can figure out OD:

`(OD)/(DB)=(AC)/(CB)\\(OD)/(8-3)=(15)/(8)\\(OD)/(5)=(15)/(8)\\8OD=5*15\\OD=(5*15)/(8)\\OD=9.375`