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.)

Question

anonymous · Answer

attachment

psymon · Answer

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

anonymous · Answer

Yes! OHHH i got it!

psymon · Answer

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

anonymous · Answer

i got that to equal 8.72?

psymon · Answer

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

anonymous · Answer

Thanks man!

psymon · Answer

Yep :3

anonymous · Answer

Didnt think about it that way lol

psymon · Answer

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

directrix · Answer

http://openstudy.com/study#/updates/503d1442e4b04bebe0426900

psymon · Answer

Okay, so confirm im not crazy xD