If the angle on the figure below has the indicated measures, which segment is the shortest? Show your solution.

Question

Answer 1

I will given you a string of inequalities; you will need to supply the logic!

DM=CM=BM=DE (look for isosceles triangles)

Compare an equilateral triangle with side DM with triangle DCM...DC<DM

I think you can now show that all the other segments are bigger than DC.

THERE ARE SERIOUS PROBLEMS WITH YOUR FIGURE AS SUBMITTED; THIS INVALIDATES MY PREVIOUS ANSWER!!!!!

Look at the angles at point D; they are supplementary in the drawing...but 96+61≠180.

Look at the angles at point M: angle CMB is indicated as a right angle, which means angle CME is also a right angle, but 58+42≠90.

I suggest that you check on the drawing and make sure you submitted it correctly. If there is no transcription error, then the problem is incorrectly drawn.