Thread: Another Geometry Construction...

Construct a triangle, given the length of one side, and the lengths of the median and the altitude to that side.

Originally Posted by MATNTRNG

Construct a triangle, given the length of one side, and the lengths of the median and the altitude to that side.

I've attached a sketch of the construction. Keep in mind that the construction is only possible if

Originally Posted by MATNTRNG

Construct a triangle, given the length of one side, and the lengths of the median and the altitude to that side.

Construct a right triagle with the given altitude as its altitude, and the median as its hypotenuse. Now mark off a segmanet of the third side of the given side length centred on the point where the hypotenuse (median) meets the base.

CB