Class 9 Exam > Class 9 Questions > What is the length of each side of an equilat...
Start Learning for Free
What is the length of each side of an equilateral triangle having an area of 4√3 cm²?
Most Upvoted Answer
What is the length of each side of an equilateral triangle having an a...
Calculating the Length of Each Side of an Equilateral Triangle
To find the length of each side of an equilateral triangle with an area of 4√3 cm², we can use the formula for the area of an equilateral triangle: Area = (√3/4) * s², where s is the length of each side.
Given Information:
- Area of the equilateral triangle = 4√3 cm²
Solution:
1. Start by substituting the given area into the formula: 4√3 = (√3/4) * s²
2. Simplify the equation: 4√3 = √3 * s²/4
3. Multiply both sides by 4 to get rid of the fraction: 16√3 = √3 * s²
4. Square both sides to isolate s²: (16√3)² = (√3)² * s²
5. Calculate the squares: 48 = 3 * s²
6. Divide by 3 to solve for s²: s² = 16
7. Take the square root of both sides to find the length of each side: s = √16 = 4 cm
Therefore, the length of each side of an equilateral triangle with an area of 4√3 cm² is 4 cm.
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
What is the length of each side of an equilateral triangle having an area of 4√3 cm²?
Question Description
What is the length of each side of an equilateral triangle having an area of 4√3 cm²? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about What is the length of each side of an equilateral triangle having an area of 4√3 cm²? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the length of each side of an equilateral triangle having an area of 4√3 cm²?.
What is the length of each side of an equilateral triangle having an area of 4√3 cm²? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about What is the length of each side of an equilateral triangle having an area of 4√3 cm²? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the length of each side of an equilateral triangle having an area of 4√3 cm²?.
Solutions for What is the length of each side of an equilateral triangle having an area of 4√3 cm²? 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 What is the length of each side of an equilateral triangle having an area of 4√3 cm²? defined & explained in the simplest way possible. Besides giving the explanation of
What is the length of each side of an equilateral triangle having an area of 4√3 cm²?, a detailed solution for What is the length of each side of an equilateral triangle having an area of 4√3 cm²? has been provided alongside types of What is the length of each side of an equilateral triangle having an area of 4√3 cm²? theory, EduRev gives you an
ample number of questions to practice What is the length of each side of an equilateral triangle having an area of 4√3 cm²? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup