Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 7 - Review Exercises - Page 349: 8

Answer

If a = 4.7, b = 2.3, and c = 7.0, then triangle ABC can not exist.

Work Step by Step

If a = 4.7, b = 2.3, and c = 7.0, then triangle ABC can not exist. If side c is the longest side, then $a+b \gt c$ in order for the triangle to exist. If $a+b \leq c$, then we can not join side a and side b such that they reach from one end of side c to the other end of side c. Therefore, a triangle could not be formed.
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