How this calculation works
Locate a point as a convex combination of the vertices of a triangle with base on the x-axis.
THE FORMULA
P = αA + βB + (1−α−β)CA worked example
With vertices (0,0), (6,0), (0,9) and equal weights, the point is (2,3).
Good to know
Weights must be nonnegative and sum to one.
Reference: OpenStax Algebra and Trigonometry (opens in a new tab) ↗
Read the result
Locate a point as a convex combination of the vertices of a triangle with base on the x-axis.
The primary result is labeled “Point x”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
Weights must be nonnegative and sum to one.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
With vertices (0,0), (6,0), (0,9) and equal weights, the point is (2,3).
Which rule does this calculator apply?
P = αA + βB + (1−α−β)C