How to find two seperated segments lenghts in a circle ?

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Zulgok

Junior Member
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Oct 4, 2015
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Hi, I have to find two lenghts from a seperated segment.
K2iPFJj.jpg

I need to find BP and PC lenghts. P is away from the centre by 7. If possible, id like to receive hints instead of direct answers :confused:
 
Zulgok said:
Hi, I have to find two lenghts from a seperated segment.
K2iPFJj.jpg

I need to find BP and PC lenghts. P is away from the centre by 7. If possible, id like to receive hints instead of direct answers :confused:
Click to expand...

Is BC = 18?
 
All I had to do was notice that there can be a triangle :-x Ive done it all now, thank you very much ! :p
 
Seperated BC to have two equal lenghts, BD=DC. Set BO and OC to make a triangle. Used pythagor to find OD, and then again to find DP. Finally, BP=BD+DP and PC=BC-BP. Hope its clear enough :p
tc1fBO8.jpg
 
Zulgok said:
Seperated BC to have two equal lenghts, BD=DC. Set BO and OC to make a triangle. Used pythagor to find OD, and then again to find DP. Finally, BP=BD+DP and PC=BC-BP. Hope its clear enough :p
tc1fBO8.jpg
Click to expand...

Nice job!

Thanks for showing your work.
 
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