(a)
To find: The coordinates of vertex
(a)
Answer to Problem 15PSB
The coordinates of
Explanation of Solution
Given:
The given figure is as follows.
Calculation:
The longer base intercepts the y-axis at its midpoint (by midpoint formula), so the shorter base must also if the trapezoidal is isosceles. So, the coordinates of
Therefore, the coordinates of
(b)
To find: The length of the bases.
(b)
Answer to Problem 15PSB
The lengths of bases are 4 and 14.
Explanation of Solution
Given:
The given figure is as follows.
Calculation:
Find the length of the shorter base as follows.
Find the length of the longer base as follows.
Therefore, the length of bases are 4 and 14.
(c)
To find: The length of the median.
(c)
Answer to Problem 15PSB
The length of the median to the hypotenuse is
Explanation of Solution
Given:
The given figure is as follows.
Calculation:
Find the length of median as follows.
Therefore, the length of the median is
(d)
To find: The area of the trapezoid.
(d)
Answer to Problem 15PSB
The area of the trapezoid is
Explanation of Solution
Given:
The given figure is as follows.
Calculation:
Find the area of trapezoid as follows.
Therefore, the area of the trapezoid is
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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