# 14. Construct a Triangle Given the Length of the Altitude to the Base, a Base Angle and the Sum of the Lengths of the Other Two Sides

Initializing live version

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 sum of the lengths of the sides and , the angle at and the length of the altitude from to the base .

[more]

Construction

Step 1: Draw a horizontal ray from and a ray from at angle from . On , measure out a point at distance from and a point at distance from .

Then either of the two triangles or is a solution.

Verification

Consider the triangle . Since , the first condition is satisfied.

Since the distance of to is by construction, the length of the altitude from to the base is .

[less]

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

## Permanent Citation

Izidor Hafner

 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