Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 10 - Section 10.5 - Equations of Lines - Exercises - Page 481: 50

Answer

4.2

Work Step by Step

We find the x coordinate of the intersection of the two lines. The x coordinate is the same as the height of the triangle. Doing this, we find: $$ -2x+7 = x+2 \\ 3x=5 \\ x=\frac{5}{3}$$ Thus, the area is: $$ A =.5bh \\ A =(.5)(\frac{5}{3})(5) \\ A=4.2 $$
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