Question
points P and Q are both in the line segment AB and on the same side of its mid point p divides AB in the ratio 2:3 and Q divides in the ratio 3:4. if PQ=2 then find the length line segment AB
Answers
Steve
AP/AB = 2/3
(AP+2)/AB = 3/4
(AP+2)/AP = 9/8
1 + 2/AP = 9/8
2/AP = 1/8
AP = 16
16/AB = 2/3
18/AB = 3/4
AB = 24
(AP+2)/AB = 3/4
(AP+2)/AP = 9/8
1 + 2/AP = 9/8
2/AP = 1/8
AP = 16
16/AB = 2/3
18/AB = 3/4
AB = 24