+0  
 
0
460
1
avatar

A and B are two points on a circle with center O, and C lies outside the circle, on ray AB. Given AB = 24, BC = 30, and OA = 16, find OC.

 Jan 1, 2021
 #1
avatar+1641 
+1

A and B are two points on a circle with center O, and C lies outside the circle, on ray AB. Given AB = 24, BC = 30, and OA = 16, find OC.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

BC = 30       AC = 54         ED = 32          EC = 32 + DC

 

BC * AC = DC * EC

 

30 * 54 = DC (DC + 32)         DC = 2(√469 - 8) = 27.31281566

 

OC = OD + DC        OC ≈ 43 5/16

 Jan 2, 2021
edited by jugoslav  Jan 2, 2021

2 Online Users

avatar
avatar