Concept explainers
The expression for the height h of the trapezoid.
Answer to Problem 37PPE
Explanation of Solution
Given:
The area A of a trapezoid is
Concept Used:
Calculation:
In order to find the expression for the height h in the given trapezoid, observe that the expression for the area of the trapezoid and the two base length expressions are given. And the area of the trapezoid is obtained by half of the product of the sum of bases and height of the trapezoid. That is,
So, in order to find the expression for the height, divide the expressions as shown below
Thus, the expression for the height of the trapezoid is
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