32. Given:nMNOis anequilateral triangle.Prove:m/M5m/N5m/O560Proof:33. Given:nABC/A>/CProve:AwBw>CwBwProof:34.The minimum requirement is that two anglesmeasure 60°.35.The front face of the figure has two congruentangles and one angle of measure 60. Let yrepresentthe measure of each of the congruent angles.y1y1605¬1802y1605¬1802y5¬120y5¬60Therefore all angles have measure 60, so thetriangle is equiangular and equilateral. All sideshave length 2x15, in particular the edgebetween the front face and the side face showing.Because the side face has two congruent baseangles it is isosceles and the sides opposite thecongruent angles are congruent.2x155¬3x2132x1185¬3x185¬x36.The triangle is isosceles with base angles havingmeasure 3x18.(3x18)1(3x18)1(2x120)5¬1808x1365¬1808x5¬144x5¬1837.The triangle on the bottom half of the figure isisosceles. The base angles are congruent.
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.