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JAMB Mathematics 1980 Question 25

Question 25

Triangles and Quadrilaterals

In triangle FGH, <G = 90°, <H = 60°, while in triangle XYZ, <X = 60° and <Y = 30°. From ΔXYZ write down the ratio equal to FG/FH

  1. A.YZ/ZX
  2. B.YX/YZ
  3. C.ZX/YZ
  4. D.YX/ZX
  5. E.YZ/YX
Show the answer and explanation

Answer: E (YZ/YX)

Explanation

<F = 30° and <Z = 90°, so F matches Y, G matches Z and H matches X. FG corresponds to YZ and FH to YX, so FG/FH = YZ/YX.