Virginia Mathematics Teacher Fall 2016

Please be sure to state your assumptions as you solve each problem. Answers to the Fall 2016 Hexa Challenge Problems will be featured in the Spring 2017 Issue of Virginia Mathematics Teacher.

January Challenge: Solve the following equation:

February Challenge: Prove the following for any integer number, n :

March Challenge: In an Isosceles triangle ABC, AB=BC, Angle B is 20 degrees, AC is five units Point D is on BC so that Angle BAD is 30degrees, and angle DAC is 50 degrees. Point E is on the side AB, so that Angle ECB is 60 degrees and angle ECA is 20 degrees. Find the length of DE. See Figure 1.

Figure 1

Virginia Mathematics Teacher vol. 43, no. 1

15