Question

point P and Q are both in the line segment AB and on the same side of its midpoint. P divides AB in the ratio 2:3,and Q divides AB in the ratio 3:4.if PQ =2 then find the length of the line segment AB.

Answer 1

Thank you for asking this question here is your answer:

AB will divide the line = AB = 2:3

Q divides of line = AB = 3:4

The distance between P and Q will be 2 cm

Now we need to find the length of AB = ? AP = 2x+3x

=5x

AQ+QB = 3x+4x = 7x

7x=35x

AP+PQ=AQ 2x+2x=3x

3x-2x=2xx=2x

The length of AB will be equat to 3x35X2CM = 70