Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 2 - Section 2.1 - Definition II: Right Triangle Trigonometry - 2.1 Problem Set: 73

Answer

$ \sqrt {20}$ or 4.47 unit

Work Step by Step

To calculate distance between given points (3,-2) and (-1,-4), we will use distance formula- r = $ \sqrt { (x_{2} - x_{1}) ^{2} + (y_{2} - y_{1}) ^{2}}$ = $ \sqrt { (-1 - 3) ^{2} + (-4 - (-2)) ^{2}}$ = $ \sqrt { (-1 - 3) ^{2} + (-4 +2) ^{2}}$ = $ \sqrt { (-4) ^{2} + (-2) ^{2}}$ = $ \sqrt {16 +4}$ = $ \sqrt {20}$ = 4.47 unit
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