Scalene Trapezoid

A scalene trapezoid is a type of trapezoid where none of the sides are congruent. It has one pair of parallel sides, while the other two sides are non-parallel.
example of a scalene trapezoid

The two parallel sides are known as the long base and the short base, corresponding to the longer and shorter of the parallel sides.

The two non-parallel sides are referred to as the oblique sides.

scalene trapezoid

The perpendicular distance between the two bases is called the height (h) of the trapezoid.

In a scalene trapezoid, all four sides are of different lengths.

The angles in a scalene trapezoid don’t follow any specific pattern of equality or complementarity as seen in other trapezoids.

Note: Unlike other trapezoids, such as the right or isosceles trapezoid, the scalene trapezoid lacks any particular symmetry properties.

The area (A) and perimeter (P) of a scalene trapezoid can be calculated using the standard formulas for a trapezoid.

$$ A = \frac{(b_1+b_2) \cdot h}{2} $$

$$ P = b_1+b_2+l_1+l_2 $$

Here, b1 and b2 are the lengths of the bases, l1 and l2 are the lengths of the non-parallel oblique sides, and h is the height, or the perpendicular distance between the bases.

And so on.

 
 

Please feel free to point out any errors or typos, or share suggestions to improve these notes. English isn't my first language, so if you notice any mistakes, let me know, and I'll be sure to fix them.

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