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In a triangle ABC, ∠BAC = 90° and AD is perpendicular to BC. If AD = 6 cm and BD = 4 cm, then the length of BC is
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- 8 cm
- 10 cm
- 9 cm
- 13 cm
- 8 cm
Correct Option: D
On the basis of question we draw a figure of triangle ABC , 
∠BAC = 90°
AB = √AD² + BD²
AB = √6² + 4²
AB = √36 + 16 = √52 cm
∆ABD and ∆ABC are similar.
| ∴ | = | |||
| BC | AB |
⇒ AB² = BC × BD
⇒ 52 = BC × 4
⇒ BC = 52 ÷ 4 = 13 cm
