A quadrilateral has an area of 453.6 m2. The length of a diagonal is 42 m and the perpendicular distance from one vertex to the diagonal is 10 m. What is the perpendicular distance from the other vertex to the diagonal ?
11.6 m
Area of a quadrilateral can be written as the sum of areas of two triangles.
Let the perpendicular distance from the other vertex be x.
Area of a triangle= =12×base×height
Area of the quadrilateral =12×42×10+12×42×x
453.6=12×42(10+x)
x=11.6m.