Given the line segment AB=36 cm and a point C on directed line segment AB that partitions AB into the ratio 1 to 2, find the lengths of the line segments AC and CB

The lengths of AC is 24 and CB is 12

Explanation: so we know that the ratio is 2:1, which can be expressed as 2x and x.

we know that 2x+x must equal 36, so we can set up the equation 2x+x=36

we then add 2x to x to make 3x=36, divide both sides by 3, and get x=12.

now that we know what x equals, 2(12) is 24 and (12) is 12 :)