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प्रश्न
Find the perimeter of an equilateral triangle whose area is `36sqrt(3) "cm"^2`.
बेरीज
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उत्तर
Given: Area = `36sqrt(3) "cm"^2`; let side = a cm.
Step-wise calculation:
1. Area formula for an equilateral triangle: A = `(sqrt(3)/4) a^2`.
2. Substitute: `(sqrt(3)/4) a^2 = 36sqrt(3)`
3. Divide both sides by `sqrt(3) : a^2/4 = 36`
4. Multiply by 4: a2 = 144
5. Take positive root: a = 12 cm
6. Perimeter P = 3a
= 3 × 12
= 36 cm
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