Math CentralQuandaries & Queries


Question from Joel, a student:

Diagonal ac of quadrilateral ABCD is 60cm and the lengths of perpendiculars to
It from the opposite vertices are 4.2cm and 5.8 cm find the area of the quadrilateral

Hi Joel,

Is this for a convex quadrilateral? If so then here is my diagram.


$BE$ and $DF$ are perpendicular to $AC$ and $BE$ has length 5.8 cm and $DF$ has length 4.2 cm.

The area of the quadrilateral $ABCD$ is the sum of the areas of the triangles $ABC$ and $ACD.$ What are the areas of the triangles $ABC$ and $ACD?$


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