The figure below displays a square extending off of side a that is split into two rectangles determined by the intersection of the shown altitude and side a. Write an expression that represents the area of the light gray rectangle L in terms of the length of sides a and b and the measure of angle C. Write an expression that represents the area of the dark gray rectangle D in terms of the length of sides a and c and the measure of angle B. (Hint: Use right triangle trigonometry). A C a B

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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The figure below displays a square extending off of side a that is split into two rectangles
determined by the intersection of the shown altitude and side a. Write an expression that
represents the area of the light gray rectangle L in terms of the length of sides a and b and the
measure of angle C. Write an expression that represents the area of the dark gray rectangle D
in terms of the length of sides a and c and the measure of angle B. (Hint: Use right triangle
trigonometry).
A
b
с
C
a
B
Transcribed Image Text:The figure below displays a square extending off of side a that is split into two rectangles determined by the intersection of the shown altitude and side a. Write an expression that represents the area of the light gray rectangle L in terms of the length of sides a and b and the measure of angle C. Write an expression that represents the area of the dark gray rectangle D in terms of the length of sides a and c and the measure of angle B. (Hint: Use right triangle trigonometry). A b с C a B
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