2019 · Q39
The perimeters of two similar triangles ABC and PQR are 75 cm and 50 cm respectively. If the length of one side of △PQR is 20 cm, then what is the length of the corresponding side of △ABC?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A25 cm
- B30 cm
- C40 cm
- D45 cm
Explanation
In similar triangles, corresponding linear measures are in the same ratio as the perimeters: 75/50 = 3/2. The side of △ABC corresponding to the 20 cm side of △PQR is therefore 20 × 3/2 = 30 cm. The answer is (B).