Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter F - Foundations: A Prelude to Functions - Section F.1 The Distance and Midpoint Formulas - F.1 Assess Your Understanding - Page 7: 57



Work Step by Step

As the diagonal of the square is the hypotenuse of a right-angled triangle, the distance can be calculated using the Pythagorean Theorem: $d^2=a^2+b^2\\ d^2=90^2+90^2\\ d^2=2(90^2)\\ d=\sqrt{2(90)^2}$ $d=90\sqrt{2}\approx127.2792206$
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