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If the ratio of the altitudes of two triangles be 3 : 4 and the ratio of their corresponding areas be 4 : 3, then the ratio of their corresponding lengths of bases is
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- 1 : 1
- 16 : 9
- 1 : 2
- 2 : 1
- 1 : 1
Correct Option: B
Using Rule 1,
| Area of triangle = | × base × height = | bh | ||
| 2 | 2 |
| ∴ | b1h1 | = | |
| 2 | |||
| b2h2 | 3 | ||
| 2 | |||
| ⇒ | = | ||
| b2 × 4 | 3 |
| ⇒ | = | = | |||
| b2 | 3 × 3 | 9 |