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Q.10 In an equilateral triangle PQR, side QR is divided into six equal parts. The length of each subdivided part is 4. The minimum area of the triangle is

1. 18
2. 24
3. 48√3
4. 144√3

Correct answer: 144√3

Solution

The area of an equilateral triangle can be calculated using the formula A = (sqrt(3)/4) * a², where 'a' is the length of a side. Since each subdivided part of side QR is 4, the total length of side QR is 6 * 4 = 24, leading to an area of (sqrt(3)/4) * 24² = 144√3.

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