# ma722_unit2_section3_hwassignment.pdf - Stan Oleynik...

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Stan OleynikAssignment 3 - Unit 2 Section 3 Assignment 62: 4, 5, 7, 65: 1, 8, 68: 1, 4MA 722 Spring 2019page 62, problem 4:If a triangle has an angle-sum of120, find its defect ina)degrees,b)right angle units,c)standard units.Solution:
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page 62, problem 5:Show how to obtain from any given triangle another which hasa)a smaller defect,b)alarger defect.Proof:a)a smaller defect.1. Suppose we have a triangle4ABC. By splitting it into two triangles4ACDand4BCDwe are getting smaller defect for either of these two triangles compared to original4ABC, sinceby theorem 46dABC=dACD+dBCD. Thus, defect ofdACD=dABC-dBCD, therefore smallerthandABCb)a larger defect.

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