3 years ago

Equations for height of trapezoid

Mathematics

1 answer:

devlian [24]3 years ago

7 0

Answer:

$h= \frac{\sqrt{(-a+b+c+d)(a-b+c+d)(a-b+c-d)(a-b-c+d)}}{2|b-a|}$

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

$h= \frac{\sqrt{(-a+b+c+d)(a-b+c+d)(a-b+c-d)(a-b-c+d)}}{2|b-a|}$

where c and d are the lengths of the legs.

Keywords: height of trapezoid

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