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  1. The length of three medians of a triangle are 9 cm, 12 cm and 15 cm. The area (in sq. cm) of the triangle is
    1. 24
    2. 72
    3. 48
    4. 144
Correct Option: B

Using Rule 1,
AG = 6 cm.

BG =
2
 × 12 = 8cm.
3

GC =
2
 × 15 = 10cm.
3

Area of ∆ ABG =
1
 × 6 × 8 = 24sq.cm.
2

∴ Area of ∆ ABC = 3 × 24 = 72 sq. cm.


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