Question 33
Triangles and QuadrilateralsIn the diagram ST and QR are parallel. |PS| = 6cm, |SQ| = 8cm and |PR| = 18 2/3. Find |PT|
- A.7cm
- B.8cm
- C.8 2/3cm
- D.10cm
- E.10 2/3cm
Show the answer and explanation
Answer: B (8cm)
Explanation
Triangles PST and PQR are similar, so PT/PR = PS/PQ = 6/14. PT = 6/14 × 56/3 = 8 cm.