Class 9 Exam  >  Class 9 Questions  >  If the area of an equilateral triangle is36&r... Start Learning for Free
If the area of an equilateral triangle is 36√3 cm2, then the perimeter of the triangle is

  • a)
    18 cm

  • b)
    12 cm

  • c)
    12√3 cm

  • d)
    36 cm

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If the area of an equilateral triangle is36√3 cm2, then the peri...
√3/4 a2 = 36√3
a2 = 36 x4
a = 6 x 2
a = 12
so P = 3a = 3 x 12 = 36
View all questions of this test
Most Upvoted Answer
If the area of an equilateral triangle is36√3 cm2, then the peri...
Free Test
Community Answer
If the area of an equilateral triangle is36√3 cm2, then the peri...
If the area of an equilateral triangle is 36, we can determine the length of each side using the formula for the area of an equilateral triangle.

The formula for the area of an equilateral triangle is given by:

Area = (sqrt(3) / 4) * side^2

Where side represents the length of each side of the triangle.

Given that the area is 36, we can set up the equation:

36 = (sqrt(3) / 4) * side^2

To solve for side, we can rearrange the equation:

side^2 = (36 * 4) / sqrt(3)

side^2 = 144 / sqrt(3)

Taking the square root of both sides, we get:

side = sqrt(144 / sqrt(3))

Simplifying further:

side = sqrt(144) / sqrt(sqrt(3))

side = 12 / sqrt(sqrt(3))

Therefore, the length of each side of the equilateral triangle is 12 / sqrt(sqrt(3)).
Explore Courses for Class 9 exam

Top Courses for Class 9

Question Description
If the area of an equilateral triangle is36√3 cm2, then the perimeter of the triangle isa)18 cmb)12 cmc)12√3 cmd)36 cmCorrect answer is option 'D'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If the area of an equilateral triangle is36√3 cm2, then the perimeter of the triangle isa)18 cmb)12 cmc)12√3 cmd)36 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the area of an equilateral triangle is36√3 cm2, then the perimeter of the triangle isa)18 cmb)12 cmc)12√3 cmd)36 cmCorrect answer is option 'D'. Can you explain this answer?.
Solutions for If the area of an equilateral triangle is36√3 cm2, then the perimeter of the triangle isa)18 cmb)12 cmc)12√3 cmd)36 cmCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of If the area of an equilateral triangle is36√3 cm2, then the perimeter of the triangle isa)18 cmb)12 cmc)12√3 cmd)36 cmCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If the area of an equilateral triangle is36√3 cm2, then the perimeter of the triangle isa)18 cmb)12 cmc)12√3 cmd)36 cmCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for If the area of an equilateral triangle is36√3 cm2, then the perimeter of the triangle isa)18 cmb)12 cmc)12√3 cmd)36 cmCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of If the area of an equilateral triangle is36√3 cm2, then the perimeter of the triangle isa)18 cmb)12 cmc)12√3 cmd)36 cmCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If the area of an equilateral triangle is36√3 cm2, then the perimeter of the triangle isa)18 cmb)12 cmc)12√3 cmd)36 cmCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 9 tests.
Explore Courses for Class 9 exam

Top Courses for Class 9

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev