Does anyone have an algorithm for constructing a triangle given one side, AB, and altitudes h and k from A and B respectively? (Using straightedge compass construction)

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- September 30th 2008, 05:39 PMGoldendoodleMomTriangle Construction
Does anyone have an algorithm for constructing a triangle given one side, AB, and altitudes h and k from A and B respectively? (Using straightedge compass construction)

- September 30th 2008, 06:20 PMSoroban
Hello, GoldendoodleMom!

Quote:

Find an algorithm for constructing a triangle given one side, ,

and altitudes and from and respectively.

(Using straightedge-compass construction)

Draw line segment

Locate its midpoint

Draw a semicircle with diameterCode:`* * *`

* *

* *

* *

* *

A * - - - - * - - - - * B

M

With as center and radius , swing an arc cutting the semicircle at

With as center and radius , swing an arc cutting the semicircle at

Code:`Q`

∆ * * P

* ∆ o

* ∆ *

* o ∆ *

o ∆

* o ∆ *

A o - - - - * - - - - ∆ B

M

Draw and , extending them to meet at

The required triangle is

- February 13th 2009, 05:52 AMmserticTriangle Construction
Hello (Happy)

For the past few days, I've been searching on the Internet for a triangle construction from its orthocenter, circumcenter and incenter. Unfortunately,I didn't find anything. Does anyone know something about this construction?

Thank you.