Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 10 - Section 10.1 - The Rectangular Coordinate System - Exercises - Page 450: 29

Answer

(a,a$\sqrt 3$)

Work Step by Step

The height of an equilateral triangle, which would be the y coordinate of the vertex in this case, is equal to half of the base times the square root of 3. Therefore: y=.5(2a)$\sqrt 3$ y=a$\sqrt 3$ The vertex id equidistant from the other two vertices so its x coordinate is equal to half of the base. x=.5(2a) x=a Vertex=(x,y)=(a,a$\sqrt 3$)
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