Quantitative Aptitude – Geometry – From an interior point of an equilateral


Slot – 1 – Quantitative Aptitude – Geometry – From an interior point of an equilateral


Q. From an interior point of an equilateral triangle, perpendiculars are drawn on all three sides. the sum of the lengths of the three perpendiculars is s. then the area of the triangle is?
  1. √3s^2/2
  2. s^2/√3
  3. s^2/2√3
  4. 2s^2/√3
Answer: 2

Solution:
The sum of all the three lengths = height of equilateral triangle = s
If Side of equilateral triangle is a then s=√3/2*a
Or a=2s/√3
So required Area = √3/4*a^2 = s^2/√3


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