JAMB Mathematics 1980 Question 15

Question 15

Triangles and Quadrilaterals

The ratio of the areas of similar triangles is necessarily equal to

  1. A.the ratio of the corresponding sides
  2. B.the ratio of the squares on corresponding sides
  3. C.the ratio of the corresponding heights of the triangles
  4. D.half the ratio of the corresponding heights of the triangles
  5. E.the ratio of the corresponding bases to the heights of the triangles.
Show the answer and explanation

Answer: B (the ratio of the squares on corresponding sides)

Explanation

If the sides are in the ratio k, every length scales by k and areas scale by k², the ratio of the squares on corresponding sides.