The area of a rhombus if the length of a side is 24 inches and one of its angles is
Answer to Problem 40E
Explanation of Solution
Given information: Geometry: If the length of a side is 24 inches and one of its angles is
Calculation:
Rhombus has four sides of equal length,
Area of rhombus = 2 (Area of triangle)
Sketch a rhombus. Draw the short diagonal and notice that the area is now divided into two (congruent) triangles. (SSS)
Each of these triangles is isosceles; we know the acute angle,
Use the following formula for triangle area (annotated as
A lot of “A’s” here
We use it to denote the angle between b & c in a triangle,
A is also “Area”. You could use other letters,
Chapter 5 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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