Isosceles Trapezoid -- Equal Areas
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 EMT 525/725
problem Isosceles Trapezoid.
This is the solution to the fourth part of that problem.
Solution?
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,
with equality if and only if a = b.
Return to the EMAT
4600/6600 Page.