Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 10 - Section 10.3 - Preparing to Do Analytic Proofs - Exercises - Page 474: 21b

Answer

$A: 0,0 \\ B: 2a,2b \\ C: 4a,0$

Work Step by Step

An ideally placed triangle, which we will call triangle ABC, should have point A placed at the origin and side AC be on the x-axis. Calling the length of AC "4a" and the height "2b," we obtain: $A: 0,0 \\ B: 2a,2b \\ C: 4a,0$ Note, we double all of the numbers from last problem, for the book wants midpoints, which are equal to the length of half of a side.
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