# Another Geometry Construction...

• Apr 21st 2010, 05:46 PM
MATNTRNG
Another Geometry Construction...
Construct a triangle, given the length of one side, and the lengths of the median and the altitude to that side.
• Apr 21st 2010, 11:05 PM
earboth
Quote:

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
$|h| \leq |m|$
• Apr 21st 2010, 11:27 PM
CaptainBlack
Quote:

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