3. The height of a triangle is the perpendicular distance from a vertex to the line containing the opposite side. The height of a parallelogram is the perpendicular distance from a line containing one side to the line containing the opposite side. Determine the heights, base length, and area of each triangle and each parallelogram.

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 3E: Consider the information in Exercise 2, but suppose you know that the area of the region defined by...
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3. The height of a triangle is the perpendicular distance from a vertex to the line containing the
opposite side. The height of a parallelogram is the perpendicular distance from a line
containing one side to the line containing the opposite side. Determine the heights, base
length, and area of each triangle and each parallelogram.
b.
а.
E
А
G •
F O
B
Height from vertex A:
Height from vertex E:
Base length (BC):
Base length (FG):
Area:
Area:
d.
Y
R
U •
T.
Height from side ZW:
Height from side RT:
Base length (ZVW):
Base length (RT):
Area:
Area:
C.
Transcribed Image Text:3. The height of a triangle is the perpendicular distance from a vertex to the line containing the opposite side. The height of a parallelogram is the perpendicular distance from a line containing one side to the line containing the opposite side. Determine the heights, base length, and area of each triangle and each parallelogram. b. а. E А G • F O B Height from vertex A: Height from vertex E: Base length (BC): Base length (FG): Area: Area: d. Y R U • T. Height from side ZW: Height from side RT: Base length (ZVW): Base length (RT): Area: Area: C.
4. Determine the areas of the following figures using any technique. Notice that the hexagon in
part a has a vertical line of symmetry, so you can determine the area of half the hexagonal
region and then double the result to obtain the area of the entire hexagonal region. (Add
screenshots of how you divided sections if possible!)
a.
b.
с.
Area of Figure:
Area of Figure:
Area of Figure:
f.
d.
е.
Area of Figure:
Area of Figure:
Area of Figure:
D Fo
Transcribed Image Text:4. Determine the areas of the following figures using any technique. Notice that the hexagon in part a has a vertical line of symmetry, so you can determine the area of half the hexagonal region and then double the result to obtain the area of the entire hexagonal region. (Add screenshots of how you divided sections if possible!) a. b. с. Area of Figure: Area of Figure: Area of Figure: f. d. е. Area of Figure: Area of Figure: Area of Figure: D Fo
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