Answer:
[tex]h= \frac{\sqrt{(-a+b+c+d)(a-b+c+d)(a-b+c-d)(a-b-c+d)}}{2|b-a|}[/tex]
Step-by-step explanation:
- The height (or altitude) is the perpendicular distance between the bases.
- In the case that the two bases have different lengths (a ≠ b), the height of a trapezoid h can be determined by the length of its four sides using the formula
[tex]h= \frac{\sqrt{(-a+b+c+d)(a-b+c+d)(a-b+c-d)(a-b-c+d)}}{2|b-a|}[/tex]
where c and d are the lengths of the legs.
Keywords: height of trapezoid
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