Triangle Construction 2 - Given 2 sides and median

Author:: Tibor Marcinek

Construct a triangle ABC such that XY

AC and WZ

m_c. In other words, you need to construct ΔABC on the given segment AB such that AC ≅ XY and the median falling on AB is congruent to WZ. Note: Segments XY and WZ should stay where they are. Do not move them.

Manipulate segments AB, WZ and XY to discuss the construction:

Can the problem have 0, 1, 2, 3 or more solutions? When?
What is the minimum number of solutions? When does it happen?
What is the maximum number of solutions? When does it happen?

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