Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter - Section 11.4 - Applications with Acute Triangles - Exercises - Page 521: 42

Answer

The area of a rhombus can be calculated : $A = a\times a \times sin \theta$.

Work Step by Step

Every rhombus is a parallelogram, so the formula $A=a\times b\times sin\gamma$, applies to every rhombus too. In a parallelogram the two adjacent sides were $a$ and $b$ with the acute angle of $\gamma$. In a rhombus these sides are $a$ and $a$, also the that they form acute angle is $\theta$. So the area of a rhombus can be calculated : $A = a\times a \times sin \theta$
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