Points P and Q are both in the line segment AB and on the same side of its
midpoint. P divides AB in the ratio 3 :5, and Q divides AB in the ratio 4:5.
If PQ = 5cm, then find the length of the line segment AB.
PLEASE ITS URGENT
Answers
Answered by
5
Step-by-step explanation:
P divides of the line AB=3:5
Q divides of line AB=4:5
The distance between P and Q=5 cm
we have to find the length of AB=?
AB=AP+PB=3x+5x=8x
Or
AB=AQ+QB=4x+5x=9x
LCM of 8x and 9x=72x=AB
AP+PQ=AQ
3x+5=3x
x=5
The length of AB=35×5 cm=175 cm
Answered by
3
Answer:
I hope my answer helpful to you
Step-by-step explanation:
P divides of the line AB=3:5
Q divides of line AB=4:5
The distance between P and Q=5 cm
we have to find the length of AB=?
AB=AP+PB=3x+5x=8x
Or
AB=AQ+QB=4x+5x=9x
LCM of 8x and 9x=72x=AB
AP+PQ=AQ
3x+5=3x
x=5
The length of AB=35x5 cm=175 cm
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