What is the formula for finding the area of a quadrilateral?
1 Answer
If a convex quadrilateral is defined by all its sides and all its interior angles, it can be broken into two triangles and the area can be expressed as a sum of the areas of these triangles.
Explanation:
Assume in a convex quadrilateral
Draw a diagonal
For triangle
Taking
The area of this triangle is
For triangle
Taking
The area of this triangle is
The total area of a quadrilateral is, therefore,