Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 7 - Similarity - 7-1 Ratios and Proportions - Lesson Check: 6

Answer

3 in., 6 in., 7 in., or 6 in., 12 in., 14in.

Work Step by Step

The lengths of the sides are given as 3:6:7 Make "x" the common factor between all of them. Therefore, the first side is 3x, the second side is 6x, and the third side is 7x. To find the possible sets of side lengths, put different values in for x. If we use one for x we get: 3x=3 x 1 = 3 - This would be the value of the first side 6x=6 x 1 = 6 - This would be the value of the second side 7x=7 x 1 = 7 - This would be the value of the third side To find another alternative set of side lengths, substitute a different number in for "x" besides 1. 3x = 3 x 2 = 6 - This would be the value of the first side 6x= 6 x 2 = 12 - This would be the value of the second side 7x = 7 x 2 = 14 - This would be the value of the third side The number of possibilities is numerous as you choose different values for "x".
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