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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 C a B

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

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.1: Area And Initial Postulates
Problem 23E: A triangular corner of a store has been roped off to be used as an area for displaying Christmas...
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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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