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Sketch and describe the locus of the vertices of all triangles with a given base and a given altitude. - Mathematics

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Question

Sketch and describe the locus of the vertices of all triangles with a given base and a given altitude. 

Diagram
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Solution

Steps of construction:

 
Draw a line XY parallel to the base BC from the vertex A.


This line is the locus of vertex A. All the triangles which have the base BC and length of altitude equal to AD.

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