-
Given that the ratio of altitudes of two triangles is 4 : 5, ratio of their areas is 3 : 2. The ratio of their corresponding bases is
-
- 8 : 15
- 15 : 8
- 5 : 8
- 8 : 5
- 8 : 15
Correct Option: B
Using Rule 1,
| Area of triangle = | × base × height | |
| 2 |
| = | × b × h | |
| 2 |
| ∴ According to the question, | b1h1 | |
| 2 | ||
| b2h2 | ||
| 4 | ||
| = | |
| 2 |
| ⇒ | × | = | |||
| b2 | 5 | 2 |
| ⇒ | = | × | = | = 15 : 8 | ||||
| b2 | 2 | 4 | 8 |
