Mathematics

In the diagram above, |QR| = 12cm and |QS| = 10cm. If ∠PQR = 90°,…

In the diagram above, |QR| = 12cm and |QS| = 10cm. If ∠PQR = 90°, ∠RSQ = 90° and PSQ is a straight line, find |PS|

  • A.
    3.3cm
  • B.
    4.4cm
  • C.
    5cm
  • D.
    5.5cm
  • E.
    6.6cm
Correct Answer: Option B
Explanation

(frac{PQ}{RQ} = frac{RQ}{SQ}) (Similar triangles)

(therefore frac{PS + 10}{12} = frac{12}{10})

(10 (PS + 10) = 12 times 12)

(10 PS + 100 = 144 implies 10 PS = 44)

(PS = 4.4 cm)