# CAT 2020 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Quants Questions | Question 2

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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

1. $$frac{s^{2}}{2√3}$ 2. $\frac{2s^{2}}{√3}$ 3. $\frac{s^{2}}{√3}$ 4. $\frac{√3s^{2}}{2}$ ## 🚀 Introductory Offer! Buy CAT'21 95-99 Booster Course for just Rs. 4500 Valid until 19th Sep #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2021Online Batches Available Now! ### Explanatory Answer From any point on a equilateral triangle, if we draw three perpendiculars on other sides Those three perpendicular will add up to = Altitude of an equilateral triangle We take the point to be A, and try to draw 3 perpendiculars$Can draw only one)
And is same as altitude of the equilateral triangle
So, s = $$frac{√3}{2}$ a --> a = $\frac{2s}{√3}$ By substituting the value in Area of an equilateral triangle $\frac{√3}{4}$a2 $\frac{√3}{4}$ ×$$$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" ##### Hence, the answer is, "$\frac{s^{2}}{√3}$" ###### 🚀 Introductory Offer! Buy CAT'21 95-99 Booster Course for just Rs. 4500. Valid until 19th Sep ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2021Enroll at 49,000/- 44,000/- Online Classroom Batches Starting Now! ###### Best CAT Coaching in Chennai Introductory offer of 5000/- Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
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