Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

APPENDIX D - Trigonometry - D Exercises: 88

Answer

$A=\frac{1}{2}absin\theta$

Work Step by Step

The area of a triangle is given by $A=\frac{1}{2}\times Base\times Height$ Here, base =b and height =h In order to find height, we will consider $sin\theta=\frac{opp}{hyp}=\frac{h}{b}$ $h=bsin\theta$ Thus, $A=\frac{1}{2}\times a\times bsin\theta$ Hence, $A=\frac{1}{2}absin\theta$
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