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JAMB Mathematics 1999 Question 25

Question 25

Triangles and Quadrilaterals

In ΔMNO, MN = 6 units, MO = 4 units and NO = 12 units. If the bisector of angle M meets NO at P, calculate NP.

  1. A.4.8 units
  2. B.7.2 units
  3. C.8.0 units
  4. D.18.0 units
Show the answer and explanation

Answer: B (7.2 units)

Explanation

The angle bisector divides NO in the ratio of the other two sides: NP : PO = 6 : 4. So NP = 6/10 × 12 = 7.2 units.