Question

Examine the following diagram, where segment AB is a diameter of circle C.

Segment AB intersects chord MN¯¯¯¯¯¯¯¯¯¯ at a right angle at point O.
Circle C as described in the problem. Angle B O N is marked as a right angle.


If MO=5x+3 and NO=6x, what is the length of MN¯¯¯¯¯¯¯¯¯¯?
Enter the correct value.

Answer 1

MO = NO => 5x+3=6x => x = 3

=> MO= NO = 18

=> MN = MO+NO = 18+18 =36