a.
To calculate:The arearatio of triangleWYZandtriangle XYZ .
a.
Answer to Problem 18PSC
Theratiois
Explanation of Solution
Given information:
In trapezoidWXYZ ,
Side WX = 12,
Side ZY = 16.
Formula used:
Area of
b = base of triangle
h = height of triangle
Calculation:
Triangle WYZ andtriangle XYZ have same base and height.
The area ratio is as follows:
b.
To find: The area ratio of triangle WXZ andtriangle WXY .
b.
Answer to Problem 18PSC
The ratio is
Explanation of Solution
Given information:
In trapezoidWXYZ ,
Side WX = 12,
Side ZY = 16.
Formula used:
Area of triangle:
b = base of triangle
h = height of triangle
Calculation:
Triangle WXZ andtriangle WXY have same base and height.
The area ratio is as follows:
c.
To find: The area ratio of triangle WPZ andtriangle XPY .
c.
Answer to Problem 18PSC
The ratio is
Explanation of Solution
Given information:
In trapezoidWXYZ ,
Side WX = 12,
Side ZY = 16.
Formula used:
Area of triangle:
b = base of triangle
h = height of triangle
Calculation:
Since ΔWXY and ΔWXZ are a ratio of
d.
To find: The area ratio of triangle WPX andtriangle ZPY .
d.
Answer to Problem 18PSC
The ratio is
Explanation of Solution
Given information:
In trapezoidWXYZ ,
Side WX = 12,
Side ZY = 16.
Formula used:
The below property is used:
Area of triangle is proportional to square of its side.
Calculation:
Triangle WPX andtriangle ZPY are similar by AA similarity rule.
The area ratio is as follows:
e.
To find: The area ratio of triangle WPX andtriangle XPY .
e.
Answer to Problem 18PSC
The ratio is
Explanation of Solution
Given information:
In trapezoidWXYZ ,
Side WX = 12,
Side ZY = 16.
Formula used:
Area of triangle:
b = base of triangle
h = height of triangle
Calculation:
Triangle WPX andtriangle ZPY are similar by AA similarity rule.
Triangle WPX andtriangle XPY have same heights.
The area ratio is as follows:
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning