Question

Please help with geometry problem!! Question and diagram posted in chat

Answer 1

So what are you learning in geometry now?

Answer 2

I learning about circles, tangents, arcs and chords.

Answer 3

Do you know the answer? I'm not 100% sure but I got 3.6

Answer 4

Yes thats right! Do you mind explaining it to me please?

Answer 5

Yay!
You can draw line segment CP

Answer 6

And <ACP would be a right angle because it is inscribed to the diameter

Answer 7

Since the diameter AP=10.
Then AO=5=OP
Let x=BP and 5-x=OB
Are you following?

Answer 8

Yes im following so far

Answer 9

Then how do you find CB?

Answer 10

Yea. I was looking at it that way, but it turns out you don't need to find that at all.

Do you something like the geometric mean when a right triangle is divided into two other right triangles?i forgot what it's called. Haha.

Answer 11

Found it in my textbook!

Each leg is the geometric mean of the hypotenuse and the segment of the hypotenuse adjacent to the leg

Answer 12

Oh yes thanks so much!! CP is the geometric mean between AP and BP, which is 3.6. And since BP and DP are both radii, DP is also 3.6!

Answer 13

Thank you so much! Your awesome :)

Answer 14

You're welcome!
And I believe you have AC the geometric mean of AB and AP

Answer 15

Yeah thanks!!