To write: A formula for the area of parallelogram WXYZ in terms of a , b and X .
Answer to Problem 3CFU
Explanation of Solution
Given information: Given:
Calculation:
This is the triangle shown:
We want a formula for area…. If you draw a diagonal from W to Y as shown in the second sketch, you split it into two congruent triangles (by SSS). So find the area of one triangle and double it.
We can use the formula
Notice as this parallelogram gets closer to being a rectangle (90 degree angled parallelogram) the sin X gets closer and closer to 1. When it becomes a rectangle and
Thus,
Chapter 5 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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