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What is the volume and area of an isosceles trapezium?
The area of a trapezium is given by 0.5*(a+b)*h where a and b are the lengths of the parallel sides and h is the vertical distance between them. The fact that the trapezium is isosceles does not matter. A trapezium is a 2 dimensional object and so it has no volume.
How do you find the parallel sides of trapezium if we know the area and the length?
A trapezium has a pair of parallel sides of different lengths so in order to find its 2nd parallel side the information given must include its height.
Which property is true for all trapezoids?
They all have 4 interior angles that add up to 360 degrees They have 1 pair of parallel sides of different lengths They have 4 sides Their area = 0.5*(sum of parallel sides)*height They are in the family of quadrilateral shapes
If two cylinders are similar and the ratio between the altitude lengths is 2 3 what is the ratio of their volumes?
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If two parallelograms are similar what do you know about the ratios of the two side lengths within one parallelograms and the ratios of the correspondingside lengths in the other parallelogram?
If and when two parallelograms are similar, you know that the ratio of two side lengths within one parallelogram will describe the relationship between the corresponding side lengths in a similar parallelogram. If and when two parallelograms are similar, you know that the ratio of corresponding side lengths in the other parallelogram will give you the scale factor that relates each side length in one parallelogram to the corresponding side length in a similar parallelogram.
What is one difference between a parallelogram and the trapezium?
A parallelogram has both pairs of sides parallel, whereas the trapezium has only one pair of sides parallel. For this to happen, the parallel sides have to be of different lengths.
Does a trapezium have parallel?
A trapezium has 1 pair of opposite parallel sides of different lengths
What is the formaula for the area of a trapezium?
If the two parallel side of the trapezium are a and b and height of the trapezium (the distance between the parallel sides) is h then the area is given by:Area = 1/2 (a + b) x hHalf the sum of the lengths of the parallel sides times the distance between them.
What are the characteristics of a trapezium?
has two parallel sideshas four straight linesThe area of the trapezium is given by the following formula where a and b are the lengths of the parallel sides and h is the perpendicular distance between the parallel sides.
How many parallel sides does a trapezium have?
A trapezium has 1 pair of opposite parallel sides of different lengths. Note that sometimes a trapezium is called a trapezoid
What is altitude of trapezium?
The altitude of a trapezium (or trapezoid) is the perpendicular distance between its two parallel sides. It is the shortest distance between these sides and is essential for calculating the area of the trapezium using the formula: Area = (1/2) × (Base1 + Base2) × Height, where Base1 and Base2 are the lengths of the parallel sides.
What are the types of trapezuim?
A trapezium or a trapezoid has one pair of parallel sides of different lengths but an isosceles trapezium also has one pair of parallel sides of different lengths but its sloping sides are equal in length.
What is the difference between a trapezium and a square?
A trapezium and a square are both quadrilaterals, but the key difference is the number of parallel sides. A square has two sets of parallel sides and four right angles, while a trapezium has only one set of parallel sides. Parallel sides: A square has two pairs of parallel sides, while a trapezium has only one. Angles: A square has four right angles, while a trapezium can have any combination of angles as long as the interior angles add up to 360°. Side lengths: A square has four equal sides, while a trapezium can have sides of different lengths. Classification: A square is a regular quadrilateral because all its sides and angles are equal. A trapezium is not a parallelogram because only one pair of sides are parallel.
How do you find the length of sides of trapezium?
Which side lengths? To calculate the parallel sides, you need the height of the trapezium and one of the sides, and you substitute them into the formula: h(a + b)/2, where h = height, a and b are the parallel side lengths. If you want to find the sides that are not parallel, you need the parallel sides, as well as the height of the trapezium. Then, by using Pythagoras theorem, with the side length the hypotenuse, you can find their lengths.
How does a trapezium look like?
A trapezium is a 4 sided quadrilateral with a pair of opposite parallel sides that have different lengths
How many pairs of parallel lines does trapezium have?
It has a 1 pair of opposite parallel sides of different lengths
How do you find the area of a tapezium?
If the lengths of the two parallel sides are a and b, and the height of the trapezium (the distance between them) is h, then area_of_trapezium = 1/2 (a + b) h that is half of the sum of the lengths of the two parallel sides multiplied by the distance between them.
