ExamCompetition Forum Question Papers Ask A Question Mock Test Learn & Earn Sign Up Login Menu



39 vote

What is the length of the side of an equilateral triangle, if its area is 36√3 sq cm?

Asked on by | Votes 39 | Views: 30 | Tags: ssc     | ssc chsl     | ssc chsl tier 1     | ssc chsl 2016     | ssc chsl 17 01 2017     | mensuration     | quantitative aptitude     | Add Bounty

What is the length of the side of an equilateral triangle, if its area is 36√3 sq cm?
1). 6 cm
2). 24 cm
3). 12 cm
4). 18 cm

SSC CGL Books


Share on Facebook      Share on Whatsapp       Share on Twitter




1 answers

20 vote
Answered by on | Votes 20 |

$\large \frac{\sqrt{3}}{4} \times a^2 = 36 \sqrt{3}$

Hence $\large a = 12 $

Accepted Answer

Join Telegram Group




Other Questions

1. The perimeter of a square is thrice the perimeter of a rectangle. If the perimeter of the square is 84 cms and the length of the rectangle is 8 cms, what is the difference between the breadth of the rectangle and the side of the square ?

2. The height of a circular cylinder is increased six times and the base area is decreased to oneninth of its value. The factor by which the lateral surface of the cylinder increases is

3. Find the area of the rhombus one side of which measures 25 cm and one diagonal is 30 cm?

4. A right pyramid with a square base has base 12 cm and height 40 cm. It is kept on its base. It is cut into 4 parts of equal heights by 3 cuts parallel to its base. What is the ratio of volume of the four parts?

5. A right circular cone of base radius 15 cm and height 40 cm is cut parallel to its base so as to obtain a frustum of height 10 cm and volume of 2000π cm3. What is the radius of the upper base of the frustum?

6. The total surface area of a solid hemisphere is $108\pi$ sq.cm..The volume of the hemisphere is

7. The total surface area of a sphere is $8\pi$ square unit . The volume of the sphere is

8. The diagonal of a cube is 8√3 cm. The inner volume of the cube is 216 sq. cm. If the sides of the cube are of uniform thickness t cm, find t.

9. Diameter of wheel of a cycle is 21 cm. The cyclist takes 45 minutes to reach a destination at a speed of 16.5 km/hr. How many revolutions will the wheel make during the journey?

10. Each of the questions below consists of a question and two statements numbered I and II are given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and :Give answer a: If the data in Statement I alone are suffici