If the corresponding Medians of two similar triangles are in the ratio 5 : 7. Then find the ratio of their sides.

Answer

To find the ratio of the sides of two similar triangles given that the corresponding medians are in the ratio 5:7, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Property of Similar Triangles**:
- In similar triangles, the ratio of the lengths of corresponding sides is equal to the ratio of the lengths of corresponding medians.

2. **Given Information**:
- The ratio of the corresponding medians of the two similar triangles is given as 5:7.

3. **Applying the Property**:
- Since the ratio of the medians is equal to the ratio of the sides, we can directly use this information.
- Therefore, the ratio of the sides of the two triangles will also be 5:7.

4. **Conclusion**:
- Thus, the ratio of the sides of the two similar triangles is 5:7.

### Final Answer:
The ratio of the sides of the two similar triangles is **5:7**.

---