Question 35
Triangles and QuadrilateralsIn the figure above, ST̂Q = SR̂P, PT = TQ = 6cm and QS = 5cm. Find SR.
- A.47/5
- B.5
- C.32/5
- D.22/5
Show the answer and explanation
Answer: A (47/5)
Explanation
Triangles QST and QPR are similar (common angle Q and equal angles at T and R). So QS/QP = QT/QR: 5/12 = 6/QR, giving QR = 72/5. SR = 72/5 − 5 = 47/5.