Multiple choice

If the ratio of the areas of two similar triangle ABC and DEF is 36: 81 and EF = 6.9 cm, then BC is equal to -

  1. 4 cm.

  2. 6 cm.

  3. 4.6 cm.

  4. 6.4 cm.

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For similar triangles, ratio of areas = square of ratio of corresponding sides. Area ratio ABC:DEF = 36:81 = 6²:9². So side ratio BC:EF = 6:9 = 2:3. Given EF = 6.9 cm, BC = (2/3) × 6.9 = 4.6 cm. Option C is correct.