Given an isosceles trapezoid with parallel sides of length a and b.
A line of length c is drawn parallel to the bases of length a and b so as to divide the isosceles trapezoid into two equal areas.
Express c in terms of a and b.
See EMAT 4600/6600 problem Lines Parallel to the Bases of a Trapezoid.
This is the solution to the fourth part of that problem. It corresponds to the Root Mean Squared (RMS)
For a construction of the segment of length c, click here.
For GSP file of the completed construction, click here.
Extension.
- Prove that for positive a and b,