Area of a trapezoid
9:09 PM
Muhammad Yusuf
, Posted in
A trapezoid¹ is divided into four triangles by its diagonals. Let the triangles adjacent to the parallel sides have areas A and B. Find the area of the trapezoid in terms of A and B.
(1) A trapezoid is a quadrilateral with at least one pair of parallel sides. In some countries, such a quadrilateral is known as a trapezium.
I want to discuss a simple definition of trapezoid as a trapezium has no parallel sides and any quadrilateral drawn randomly would probably be a trapezium and if the quadrilateral had one pair of parallel sides then it is a trapezoid and if both pairs of sides are parallel its a parallelogram.
Formula: Average width × Altitude
Mathematical Induction