# Math Help - Another Geometry Construction...

1. ## Another Geometry Construction...

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

2. 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
$|h| \leq |m|$

3. 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