(a)
To find: The quadrilateral’s area by using the encasement principle.
(a)

Answer to Problem 26RP
The area of the trapezoid is
Explanation of Solution
Given:
The given points are
Calculation:
Consider the given pointsof the trapezoid is
From the given points the area of the trapezoid is of the form,
(b)
To find: The fact that is true about the diagonals.
(b)

Answer to Problem 26RP
The slope of both the diagonals shows that they are perpendicular to each other.
Explanation of Solution
Given:
The given points are
Calculation:
The slope of the first diagonal is calculated as,
The slope of the second diagonal is calculated as,
Thus, the slope of both the diagonals shows that they are perpendicular to each other.
Chapter 13 Solutions
Geometry For Enjoyment And Challenge
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