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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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<h3>Ratio, Fraction and decimal</h3><h3 />

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In ratio:

33%

= 33 / 100

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In fraction:

33%

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In decimal:

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In ΔKLM, the measure of ∠M=90°, KM = 40, LK = 41, and ML = 9. What ratio represents the tangent of ∠K?

melomori [17]

Answer:

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Step-by-step explanation:

Consider the right-angles triangle KLM below.

The angle M is 90°.

KM = perpendicular (<em>p</em>) = 40

ML = base (<em>b</em>) = 9

LK = hypotenuse (<em>h</em>) = 41

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