College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.1 - Functions - 3.1 Assess Your Understanding - Page 212: 98

Answer

$A=\displaystyle \frac{1}{2}x^{2}$

Work Step by Step

The only two sides that can be equal are the legs of the right triangle. (The hypotenuse is longer than any of the legs) The area is $\displaystyle \frac{1}{2}\cdot$(leg)(leg) With $x$ representing the length of the legs, the function for the area is: $A(x)=\displaystyle \frac{1}{2}\cdot x\cdot x$ $A=\displaystyle \frac{1}{2}x^{2}$
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