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This figure shows circle O with chords AC and BD.

m arc AB=36 degrees; m arc CD=36 degrees; AP=6m; PC=8m

What is BD?

Kakarot_15  May 16, 2017
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Draw  AD, BC

 

In triangle APD, angle ADP  = 18°   and angle DAP = 18°......so......AP  = PD  =  6m

 

Similarly,  in triangle BPC, angle PBC = 18° and angle PCB = 18° ...so.... PC = BP  =  8m

 

So  

 

BD   =  BP  +  PD    =    8  +  6    =    14 m  

 

 

 

cool cool cool

CPhill  May 16, 2017

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