8. Construct a Triangle Given the Lengths of Two Sides and the Length of the Altitude to One of Them

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

This Demonstration shows a construction of a triangle given the lengths and of the sides and and the length of the altitude from to .



Draw a line segment of length , and let be the midpoint of .

Step 1: Draw the circle with center and radius . Measure out a point on at distance from .

Step 2: Extend to such that .


Since is a right-angled triangle and by construction, is the altitude to and has length .


Contributed by: Izidor Hafner (August 2017)
Open content licensed under CC BY-NC-SA




[1] D. S. Modic, Triangles, Constructions, Algebraic Solutions (in Slovenian), Ljubljana: Math Publishers, 2009 pp. 44.

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.