Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - Chapter Summary, Review, and Test - Review Exercises - Page 404: 28

Answer

\[h=\frac{2A}{b}\]

Work Step by Step

An expression can be solved for a variable by performing various mathematical operations to isolate a specified variable on one side of the expression. The equation can be solved for \[h\] as follows: \[A=\frac{1}{2}bh\] Multiply both sides of the expression by \[2\]. This gives, \[\begin{align} & 2A=2\times \frac{1}{2}bh \\ & 2A=bh \\ \end{align}\] Divide the constant\[b\]into both sides of the expression. This gives, \[\begin{align} & \frac{2A}{b}=\frac{bh}{b} \\ & \frac{2A}{b}=h \\ \end{align}\]
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