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The length of a median of an equilateral triangle is 12 3 cms. Then the area of the triangle is :
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- 144 sq. cm.
- 288√3 sq. cm.
- 144√3 sq. cm.
- 288 sq. cm.
- 144 sq. cm.
Correct Option: C
Median of equilateral triangle = Its height = 12√3 cm.
If the side of equilateral triangle be x cm, then its height
| = | x cm | |
| 2 |
| = | x cm = 12√3 | |
| 2 |
| ⇒ x = | = 24 cm | |
| √3 |
| ∴ Required area = |  | × 24 × 24 |  | sq. cm | |
| 4 |
= 144√3 sq. cm.
