Write I have been given this problem which I simply cannot do? Any helpers please...
Here we go:
A, B and L are points on a circle, centre O
AB is a chord of the circle
M is the midpoint of AB
LOM is the midpoint of AB
AB = 24cm
LM = 18cm
What is the diameter of the circle?
Draw a diagram, place the chord AB, the midpoint M and the centre of the circle O.
Since LOM is a straight line, LM is perpendicular to AB (being in fact the mediator)
Look at the triangle AOM (Right angle triangle):
OA = radius of the circle (R)
AM=24/2=12 cm
OM=LM-OL=18-R
Now apply Pythagoras Theorem in triangle AOM, this will lead you to an equation in R.