Isoceles Trapezoid
trapezoid with two pair of equal angles, one at top and second at the base.
An isosceles trapezoid is a four-sided figure with two parallel sides of equal length. It is also known as an irregular quadrilateral. The other two sides of an isosceles trapezoid are unequal and are slanted inward.
Properties of an Isosceles Trapezoid:
1. The two opposite angles of an isosceles trapezoid are equal in measure.
2. The non-parallel sides of an isosceles trapezoid are equal in length.
3. The diagonals of an isosceles trapezoid are equal in length.
4. The base angles of an isosceles trapezoid are supplementary, which means they add up to 180 degrees.
5. The median of an isosceles trapezoid is the line segment joining the midpoints of the slanted sides. It is parallel to the bases and its length is equal to the average of the lengths of the bases.
6. The area of an isosceles trapezoid can be calculated using the formula:
Area = (1/2) × (sum of parallel sides) × (distance between the parallel sides)
Examples of real-life applications of isosceles trapezoids include the design of rooftops and the construction of bridges where they are used to support the weight of the structure. They can also be used in architecture, such as in the design of columns or facades of buildings.
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