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The midpoint theorem generalizes to the intercept theorem, where rather than using midpoints, both sides are partitioned in the same ratio. [1] [2] The converse of the theorem is true as well. That is if a line is drawn through the midpoint of triangle side parallel to another triangle side then the line will bisect the third side of the triangle.
The midsegment of a trapezoid is one of the two bimedians (the other bimedian divides the trapezoid into equal areas). 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 ...
In elementary geometry, it is a theorem that the median of a trapezoid is equal in length to the average of the lengths of the two bases. Here, a trapezoid is a quadrilateral with two opposite sides parallel, and its median is defined as the line segment connecting the midpoints of the two non-parallel sides of the trapezoid. The median is ...
In calculus, the trapezoidal rule (also known as the trapezoid rule or trapezium rule) [a] is a technique for numerical integration, i.e., approximating the definite integral: (). The trapezoidal rule works by approximating the region under the graph of the function f ( x ) {\displaystyle f(x)} as a trapezoid and calculating its area.
An example spangram with corresponding theme words: PEAR, FRUIT, BANANA, APPLE, etc. Need a hint? Find non-theme words to get hints. For every 3 non-theme words you find, you earn a hint.
Citrus, most essential oils, and herbs, coffee, certain flowers, and perfume are all great examples of scents our fur friends don't like. Many of these are also toxic to our pets, so we have a ...
In 2025, Social Security retirees can get a check worth up to $5,108 every single month. According to the Social Security Administration, this is the maximum benefit payment available. It’s also ...
Any non-self-crossing quadrilateral with exactly one axis of symmetry must be either an isosceles trapezoid or a kite. [5] However, if crossings are allowed, the set of symmetric quadrilaterals must be expanded to include also the crossed isosceles trapezoids, crossed quadrilaterals in which the crossed sides are of equal length and the other sides are parallel, and the antiparallelograms ...