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Q: How you could find the height of a trapezoid if you knew the length of the 2 bases and the area of the trapezoid?

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Not necessarily. The two sides of equal length could be adjacent sides.

Wikipedia defines a trapezium (trapezoid) as a quadrilateral with one pair of parallel sides. However, it also acknowledges that there is disagreement as to whether or not that means exactly one pair or at least one pair. Under the first definition a trapezium could not be a square whereas under the second, it would. Sorry not to give you an unambiguous answer but ...

The nonparallel sides of a trapezoid are called the legs. The parallel sides are called the bases.

It could be a right angle trapezoid whereas the other two angles are acute and obtuse

No because a trapezoid has 4 sides and a triangle has three if a trapezoid had three then it would be a triangle. If you had 3 trapezoids you could make a triangle!

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They could be, but to form a trapezoid, They doesn't have to be. The legs of the trapezoid can be any length, so long as the the bases are parallel to one another.

Not necessarily. The two sides of equal length could be adjacent sides.

Wikipedia defines a trapezium (trapezoid) as a quadrilateral with one pair of parallel sides. However, it also acknowledges that there is disagreement as to whether or not that means exactly one pair or at least one pair. Under the first definition a trapezium could not be a square whereas under the second, it would. Sorry not to give you an unambiguous answer but ...

Rhombus :1. The "base times height" method First pick one side to be the base. Any one will do, they are all the same length. Then determine the altitude - the perpendicular distance from the chosen base to the opposite side. The area is the product of these two, or, as a formula: whereb is the length of the basea is the altitude (height).2. The "diagonals" method Another simple formula for the area of a rhombus when you know the lengths of the diagonals. The area is half the product of the diagonals. As a formula: whered1 is the length of a diagonald2 is the length of the other diagonal2. Using trigonometry If you are familiar with trigonometry, there is a handy formula when you know the length of a side and any angle: wheres is the length of any sidea is any interior anglesin is the sine function (see Trigonometry Overview) It may seem odd at first that you can use any angle since they are not all equal. But the angles are either equal or supplementary, and supplementary angles have the same sine.Parallelogram:The area of a rectangle is given by the formulawhereB is the length of any baseA is the corresponding altitude Recall that any side can be chosen as the base. You must use the altitude that goes with the base you choose. The altitude (or height) of a parallelogram is the perpendicular distance from the base to the opposite side (which may have to be extended).Trapezoid:Area formula The area of a trapezoid is given by the formulawhereb1, b2 are the lengths of the two basesa is the altitude of the trapezoidCalculator Recall that the bases are the two parallel sides of the trapezoid. The altitude (or height) of a trapezoid is the perpendicular distance between the two bases. This is equivalent to the altitude times the average length of the bases. Since the median of a trapezoid is also the average length of the two bases, the area is also the altitude times the median length. Area as a compound shape Another way to find the area of a trapezoid is to treat it as some simpler shapes, and then add or subtract their areas to find the result. For example, a trapezoid could be considered to be a smaller rectangle plus two right triangles:

Several solutions are possible here. The four sides could be the same length, or different lengths. The only requirement (with respect to lengths) to be called an "isosceles trapezoid" is that two opposite sides have the same length.Several solutions are possible here. The four sides could be the same length, or different lengths. The only requirement (with respect to lengths) to be called an "isosceles trapezoid" is that two opposite sides have the same length.Several solutions are possible here. The four sides could be the same length, or different lengths. The only requirement (with respect to lengths) to be called an "isosceles trapezoid" is that two opposite sides have the same length.Several solutions are possible here. The four sides could be the same length, or different lengths. The only requirement (with respect to lengths) to be called an "isosceles trapezoid" is that two opposite sides have the same length.

It could be:quadrilateral ortrapeziumtrapezoidisosceles trapezoid

No

A rectangle is a two dimensional object, with length and width but not height. An object with length, width and height could be a cuboid, in which case is it still the area that is required or the volume?

Yes height could be measured in these units. These units describes length.

Possibly, but not necessarily. It could be length and height. Or, it could be in the context of a shape which is not even rectangular.

it could be any possible number

I can get you most of the way there volume÷height=length+width (so you can find 2 numbers which add up to the answer you get and those could be your length and width) hope this helps

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