Isosceles Trapezoid
A trapezoid with two congruent bases.
An isosceles trapezoid is a four-sided polygon with two parallel sides of equal length and two non-parallel sides that are also equal in length. The parallel sides are also referred to as the bases of the trapezoid while the other two sides are known as the legs of the trapezoid.
The properties of an isosceles trapezoid include:
1. The opposite angles of an isosceles trapezoid are supplementary, i.e. they add up to 180 degrees.
2. The diagonals of an isosceles trapezoid are of equal length and bisect each other at right angles.
3. The height of an isosceles trapezoid, which is the perpendicular distance between the two bases, is equal to the length of one of its legs.
The area of an isosceles trapezoid can be calculated using the formula:
Area = [(sum of the lengths of the bases) × height] / 2
or
Area = [(base 1 + base 2) × height] / 2
where base 1 and base 2 are the lengths of the parallel sides and height is the perpendicular distance between the two bases.
In geometrical problems, the properties of isosceles trapezoids can be applied to solve various types of questions such as finding the area, perimeter, angles, and diagonals of the shape.
More Answers:
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