Multiple choice

(\triangle ABC) and (\triangle DEF) are similar. If (5AB = 2DE) and (EF = 10\text{ cm}), then (BC) is equal to :

  1. 6 cm

  2. 8 cm

  3. 2 cm

  4. 4 cm

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

For similar triangles, corresponding sides are proportional. From 5AB = 2DE, we get AB/DE = 2/5, so the scale factor is 2/5. Since triangles are similar, BC/EF = AB/DE = 2/5. Given EF = 10 cm, BC = (2/5) × 10 = 4 cm. Option D is correct.