Points P and Q belong to segment AB . If AB = a, AP = 2PQ = 2QB, find the distance: midpoints between AP QB

The distace between midpoints of AP and QB is .

Step-by-step explanation: Points P and Q are between points A and B and the segment AB measures a, then:

AP + PQ + QB = a

According to the question, AP = 2 PQ = 2QB, so:

PQ =

QB =

Substituing:

AP + 2*() = a

2AP = a

AP =

Since the distance is between midpoints of AP and QB:

2QB = AP

QB =

QB =

QB =

MIdpoint is the point that divides the segment in half, so:

Midpoint of AP:

Midpoint of QB:

The distance is:

d =

d =

486in is correct

step-by-step explanation: