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Why is the formula for the area of a trapezoid?

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Why is the formula for the area of a trapezoid?

Dissecting the trapezoid In the case of the trapezoid, the bases cannot be chosen at will. The area of this parallelogram is its height (half-height of the trapezoid) times its base (sum of the bases of the trapezoid), so its area is half-height × (base1 + base2).

What is a formula of trapezium?

The area of a trapezium can be calculated using the formula: A = ½ × (a + b) × h.

What is a trapezium shape?

A trapezoid (also known as a trapezium) is a flat 2D shape, with four straight sides. It has one pair of parallel sides which are usually the top and bottom sides. The parallel sides are called the bases, while the non-parallel sides are called the legs. Different cultures define the shape differently.

What are the 4 properties of a trapezium?

Properties of Trapezium

  • It is a 2D shape.
  • The bases of a trapezium are parallel to each other.
  • The length of both the diagonals is equal.
  • The diagonals of a trapezium always intersect each other.
  • The adjacent interior angles sum up to 180°.
  • The sum of all the interior angles in a trapezium is always 360°.

What are the 5 properties of a trapezium?

What is the formula for the base of a trapezoid?

To find the height and base of the trapezoid that is used in the area of a trapezoid formula, we need to use the following formulas. Height (altitude) = 2a/(b 1 + b 2) Where a = area and b1, b2 are the 2 bases. Base length = (2a/h) – b.

Does trapezoid have four equal sides?

Since trapezoids are quadrilaterals, they have four sides, which means that they also have four corners, or vertices. In order to be considered a trapezoid, a shape must have four sides, and at least one set that is parallel.

What is the sum of the angles of a trapezoid?

Trapezoid. A four-sided polygon having exactly one pair of parallel sides. The two sides that are parallel are called the bases of the trapezoid. The sum of the angles of a trapezoid is 360 degrees.

What are the rules of an isosceles trapezoid?

The legs of a trapezoid are equal in length, as are the diagonals. In an isosceles trapezoid, angles that share a base have the same measure. Supplementary angles, which are angles adjacent to opposite bases, have a sum of 180 degrees. These rules can be used to calculate an angle.