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MATH 241Winter 2015Assignment 2Due Monday February 9 by 5:00pmin the assignment box on the 3rd floor of CABFirst Name:SOLUTIONSLast Name:Student Id:Section:Instructor:Be sure to show all your work, justify your stepsand explain your answers. Please staple your assign-ment, and write your full name on each page. Pleasewrite neatly, marks will be taken off for unreadableor disorganized work.1
2(1) (6 points) Consider4ABCwith side lengthsAB= 5,BC= 5 andAC= 6. This triangle has∠A= 53◦. LetPandQbe the midpointsofABandACrespectively. Find each of the following, and justifyyour results.(a) The length ofPQ.(b) The measure of∠ABQ.(c) The length ofBX, whereXis the point of intersection ofBQwithCP.