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Question 2 : From the interior point of an equilateral triangle, perpendiculars are drawn on all three sides. The sum of the lengths of the perpendiculars is 's'. Then the area of the triangle is

- \\frac{s^{2}}{2√3})
- \\frac{2s^{2}}{√3})
- \\frac{s^{2}}{√3})
- \\frac{√3s^{2}}{2})

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From any point on a equilateral triangle, if we draw three perpendiculars on other sides

Those three perpendicular will add up to = Altitude of an equilateral triangle

We take the point to be A, and try to draw 3 perpendiculars (Can draw only one)

And is same as altitude of the equilateral triangle

So, s = \\frac{√3}{2}) a --> a = \\frac{2s}{√3})

By substituting the value in Area of an equilateral triangle \\frac{√3}{4})a^{2}

\\frac{√3}{4}) × (\\frac{2s}{√3}))^{2}= \\frac{s^{2}}{√3})

The question is **"From the interior point of an equilateral triangle, perpendiculars are drawn on all three sides. The sum of the lengths of the perpendiculars is 's'. Then the area of the triangle is" **

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