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In the given figure, find the length of BD.
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- 13.5 cm
- 12 cm
- 14.5 cm
- 15 cm
- None of these
Correct Option: A
In ΔsADE and ΔABC
∠A = ∠A [common]
∠ADE = ∠ACB = x°(Given)
∴ ΔADE ∼ ΔACB (AA Similarly)
| AD | = | AE | (corresponding side of ⁓ ∆s are proportional) |
| AC | AB |
| 6 | = | 9 |
| 13 | AB |
| AB = | 39 | = 19.5 cm |
| 2 |
Hence BD = AB - AD = 19.5 - 6 = 13.5 cm.
