## OpenSessame 2 years ago Determine whether a tangent line to circle O is shown in the diagram, for AB = 7.75, OB = 4, and AO = 8.75. Explain your reasoning. (The figure is not drawn to scale.)

1. OpenSessame

2. Psymon

Well, if that line is tangent to the circle, then the triangle, in this case, would havetobe a right triangle, correct?

3. OpenSessame

Yes! OHHH i got it!

4. Psymon

Mhm. Well if it were a right triangle, then that would mean that the pythagorean theorem would be valid. So if it is a right triangle, then $8.75=\sqrt{4^{2}+7.75^{2}}$ So thats up to you to check

5. OpenSessame

i got that to equal 8.72?

6. Psymon

Right, so that means this isnt a right triangle because we didnt find it to equal 8.75. So it is not tangent then.

7. OpenSessame

Thanks man!

8. Psymon

Yep :3

9. OpenSessame

Didnt think about it that way lol

10. Psymon

Im not that great at geometry, so thats, like, theonly way I know how to look at it xD

11. Directrix
12. Psymon

Okay, so confirm im not crazy xD