Points on line segment
Points P and Q belong to segment AB. If AB=a, AP = 2PQ = 2QB, find the distance between point A and the midpoint of segment QB.
Correct answer:

Tips for related online calculators
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Check out our ratio calculator.
Do you want to convert length units?
Check out our ratio calculator.
Do you want to convert length units?
You need to know the following knowledge to solve this word math problem:
- geometry
- analytic geometry
- line segment
- arithmetic
- division
- basic functions
- ratio
- direct proportionality
- numbers
- fractions
Units of physical quantities:
Grade of the word problem:
Related math problems and questions:
- The midpoint 2
Find the value of x if M is the midpoint of PQ, PQ=10x−7, and PM=14.
- Chord
It is given to a circle k(r=6 cm), and the points A and B such that |AB| = 8 cm lie on k. Calculate the distance of the center of circle S to the midpoint C of segment AB.
- Points OPQ
Point P is on line segment OQ. Given OP = 6, OQ = 4x - 3, and PQ = 3x, find the numerical length of OQ.
- Connect 6500
Draw the line KL = 55mm. Draw a circle k with center K and a radius of 4cm. Mark the points to belong to the circle and connect them with point L.
- Midpoint of segment
Find the distance and midpoint between A(1,2) and B(5,5).
- Collinear lines
Points A, B, and C are collinear, and B lies between A and C. If AC = 48, AB = 2x + 2, and BC = 3x + 6, what is BC?
- Add vector
Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.