2021 · Q27
ΔABC is similar to ΔDEF. The perimeters of ΔABC and ΔDEF are 40 cm and 30 cm respectively. What is the ratio of (BC + CA) to (EF + FD) equal to?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A5 ∶ 4
- B4 ∶ 3
- C3 ∶ 2
- D2 ∶ 1
Explanation
Similar triangles have all corresponding lengths in the same ratio as their perimeters: 40/30 = 4/3. Therefore (BC + CA)/(EF + FD) = 4/3. Hence option B.