Construction of an SSA Triangle

Requires a Wolfram Notebook System

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

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

A triangle is determined and constructible with ruler and compass if enough is known about its sides and angles; for example, where S and A mean side and angle, knowing SSS, SAS, ASA and AAS determines a triangle. The order is important: SSA can lead to two different triangles, depending on where the angle is located relative to the two given sides.

[more]

This Demonstration deals with the SSA case. It shows the construction of triangle given , and the angle at vertex . Assume that the side is already drawn.

Construct a straight line (shown dashed) through at an angle relative to . Let be the intersection of this line with the bisector of (also shown dashed). Then (after some thought), . The chord subtends the angle from the circle with center and radius .

The point is the intersection of and the circle with center and radius .

[less]

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


Details


Snapshots



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.
Send