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Two medians AD and BE of ∆ ABC intersect at G at right angles. If AD = 9 cm and BE = 6 cm, then the length of BD (in cm) is
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- 10
- 6
- 5
- 3
- 10
Correct Option: C
We draw a figure triangle ABC in which two medians AD and BE intersect at G at right angles ,
AD = 9 cm.
| ⇒ GD = | × 9 = 3cm | |
| 3 |
BE = 6 cm
| ⇒ BG = | × 6 = 4 cm | |
| 3 |
∴ BD = √3² + 4² = √9 + 16 = 5 cm.
