• Jan 22nd 2009, 08:54 AM
arcanis
Hello and thank you for the attention. I need urgent help with the following problem.

There is a trapezoid(ABCD). The points M, N, Q, P are the midpoints of the sides AB, BC, CD, DA. Find the perimeter of the trapezoid if the length of the trapezoid's median is 10 cm, and the perimeter of the parallelogram MNPQ = 18 cm.

Thank you very much indeed!
• Jan 22nd 2009, 10:04 PM
Trapezoid
Hello arcanis
Quote:

Originally Posted by arcanis
Hello and thank you for the attention. I need urgent help with the following problem.

There is a trapezoid(ABCD). The points M, N, Q, P are the midpoints of the sides AB, BC, CD, DA. Find the perimeter of the trapezoid if the length of the trapezoid's median is 10 cm, and the perimeter of the parallelogram MNPQ = 18 cm.

Thank you very much indeed!

The sum of the lengths of two adjacent sides of the parallelogram MNPQ is 9 cm, and the length of one of its diagonals is 10 cm. This is clearly impossible, as the sum of two sides of a triangle is always greater than the third side. Are you sure you have the question right?