Math CentralQuandaries & Queries


Question from khushboo, a student:

Find the area of quadrilateral pqrs in which angle QPS=90°,PQ=12cm, PS=9cm, QR=8cm and SR=17cm.
(Hint: PQRS has two parts)

Hi Khushboo,

Join Q and S to partition the quadrilateral into two triangles. The triangle QSP is a right triangle so it is easy to calculate its area. You can also use Pythagoras Theorem on triangle QSP to calculate the length of QS. What does the converse of Pythagoras Theorem tell you about triangle QRS?


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