How this calculation works
Find the internal point that divides a segment into a specified ratio.
THE FORMULA
P = A + m/(m+n)(B−A) for AP:PB=m:nA worked example
A 1:2 split between (0,0) and (9,6) puts the point at (3,2).
Good to know
Both ratio terms must be positive.
Reference: OpenStax Algebra and Trigonometry, Trigonometric Applications (opens in a new tab) ↗
Read the result
Find the internal point that divides a segment into a specified ratio.
The primary result is labeled “Division point x”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
Both ratio terms must be positive.
For a related exercise, try the circle calculator.
A few questions, answered
How can I check the default inputs by hand?
A 1:2 split between (0,0) and (9,6) puts the point at (3,2).
Which rule does this calculator apply?
P = A + m/(m+n)(B−A) for AP:PB=m:n