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How do you prove that a trapezoid is isosceles?
You prove that the two sides (not the bases) are equal in length. Or that the base angles are equal measure.
What is the formula can you use to find out the area of a trapezoid?
Area of a trapezoid = (1/2) x (height) x (length of the base + length of the top)
How would you construct an isosceles trapezoid given the length of the top and the bottom and the length of the diagonal?
A trapezoid is a quadrilateral with one pair of parallel sides. Within an isosceles trapezoid, the angles at the base will be identical, and the two sides will be congruent. If you have the length of the base and the top, and the length of the diagonal, you can build this figure. Draw a line for the base, as you already know its length. Then set your compass to the length of the diagonal. With that length set, place your compass on each end of the base you drew, and draw an arc starting along the line of the base and going up to a point straight up from the point of the compass, which is on the end of the base. The top of your isosceles trapezoid will have endpoints on these arcs and (naturally) be parallel to the base. With the base drawn and the two arcs scribed, find the difference between the length of the base and the length of the top of the trapezoid. With the difference calculated, divide this length in half, and measure in from the endpoints of your base and mark this point. The endpoints of the top of the trapezoid will be on a line that is the verticle from these points you marked. Make a right angle at the points, and then draw a line vertically to the arcs you scribed. Where the verticals intersect the arcs will be the endpoints of the top of the trapezoid. With those points now discovered, draw a line from one of them to the other, and that will be the top of your trapezoid. You have drawn your isosceles trapezoid from the dimensions of its base, top and its diagonal.
Is a leg of a trapezoid longer than its base?
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.
What does a trapezoid in which the nonparallel sides have the same length describe?
The description given fits that of an isosceles trapezoid whereas non parallel sides are equal in length and base angles are equal in sizes.
How do you prove that a trapezoid is isosceles?
You prove that the two sides (not the bases) are equal in length. Or that the base angles are equal measure.
What is the length of the shorter base of the trapezoid?
2m
In an isosceles trapezoid the longest base is 11 a leg is 5 and the height is 4 Find the length of the shorter base of the trapezoid?
ok
What is the formula can you use to find out the area of a trapezoid?
Area of a trapezoid = (1/2) x (height) x (length of the base + length of the top)
How would you construct an isosceles trapezoid given the length of the top and the bottom and the length of the diagonal?
A trapezoid is a quadrilateral with one pair of parallel sides. Within an isosceles trapezoid, the angles at the base will be identical, and the two sides will be congruent. If you have the length of the base and the top, and the length of the diagonal, you can build this figure. Draw a line for the base, as you already know its length. Then set your compass to the length of the diagonal. With that length set, place your compass on each end of the base you drew, and draw an arc starting along the line of the base and going up to a point straight up from the point of the compass, which is on the end of the base. The top of your isosceles trapezoid will have endpoints on these arcs and (naturally) be parallel to the base. With the base drawn and the two arcs scribed, find the difference between the length of the base and the length of the top of the trapezoid. With the difference calculated, divide this length in half, and measure in from the endpoints of your base and mark this point. The endpoints of the top of the trapezoid will be on a line that is the verticle from these points you marked. Make a right angle at the points, and then draw a line vertically to the arcs you scribed. Where the verticals intersect the arcs will be the endpoints of the top of the trapezoid. With those points now discovered, draw a line from one of them to the other, and that will be the top of your trapezoid. You have drawn your isosceles trapezoid from the dimensions of its base, top and its diagonal.
What is an isosceles trapezoid?
It is a trapezoid in which the non-parallel sides are of the same length and subtend equal angles with the base. It can be viewed as an isosceles triangle whose apex has been removed by a line parallel to its base.
Can a trapezoid be a square?
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 ...
If a trapezoid has base lengths of 18 and 40 what is the length of the median?
median = 29
What is the formula to find the length of the base indicated for each trapezoid?
Nothing is "indicated".
What is the area of a trapezoid?
The area of a trapezoid = 1/2 (altitude)(base 1 + base 2) *altitude can also be called the height, or the spacing between the parallel sides. Base 1 is the length of one of the parallel sides, and base 2 is the length of the other parallel side.
Is a leg of a trapezoid longer than its base?
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.
Does the area of the trapezoid double if the height double?
If the base length b and the top length a remain the same, then the area will double if the height his doubled.Area = ((a+b) x h ) / 2Please note that a trapezoid has the top a and base b parallel.
