Free · Algebra and geometric relations

Triangle Midpoints and Oriented Area

Find a parallel midsegment or vertex midpoints in a coordinate triangle.

Calculator inputs

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Enter the known values in the units shown. Results update as you type.
Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
Use the worked example to check the method. Reset restores the starting fields.

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For the worked example, m = 5.

Midsegment = parallel side/2; midpoint coordinates are endpoint averages

Enter these known values and leave the other values blank.

A midsegment joins two side midpoints and is parallel to the third side.
Coordinate area is signed: reversing vertex order changes its sign. Coordinate inverses can select one positive-root branch.

Choose the relevant mode and enter independent known quantities. Leave a missing value empty where the control permits an inverse.

The result follows the stated mathematical model. All dimensions must use consistent units; available unit selectors handle conversions.

Bookify validates the real geometric or algebraic domain and inverse branches omitted or approximated by this capture.