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JAMB Mathematics 1998 Question 31

Question 31

Loci

The locus of all points at a distance 8cm from a point N passes through points T and S. If S equi-distant from T and N, find the area of triangle STN.

  1. A.4√3cm2
  2. B.16√3cm2
  3. C.32cm2
  4. D.64cm2
Show the answer and explanation

Answer: B (16√3cm2)

Explanation

NT = NS = 8 cm (radius) and ST = SN = 8 cm, so the triangle is equilateral with side 8 cm. Area = (√3/4) × 64 = 16√3 cm².