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Each side of an equilateral triangle is 2x cm. If x√3 = √48, then area of the triangle is?
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Each side of an equilateral triangle is 2x cm. If x√3 = √48, then area...
Given:
Each side of an equilateral triangle is 2x cm.
x√3 = √48
To find:
The area of the triangle.
Explanation:
To find the area of an equilateral triangle, we need to know the length of one side. In this case, we are given that each side of the triangle is 2x cm.
Finding the value of x:
We are also given that x√3 = √48. To solve for x, we can square both sides of the equation:
(x√3)^2 = (√48)^2
3x^2 = 48
Dividing both sides by 3:
x^2 = 16
Taking the square root of both sides:
x = √16 = 4
Calculating the area of the triangle:
Now that we know the value of x, we can calculate the area of the equilateral triangle. The formula to find the area of an equilateral triangle is:
Area = (√3/4) * side^2
Substituting the value of the side:
Area = (√3/4) * (2x)^2
Area = (√3/4) * (2*4)^2
Area = (√3/4) * 8^2
Area = (√3/4) * 64
Area = (√3/4) * 64
Area = (√3/4) * 64
Area = (1.732/4) * 64
Area = 1.732 * 16
Area = 27.712
Answer:
The area of the equilateral triangle is 27.712 cm².
Each side of an equilateral triangle is 2x cm.
x√3 = √48
To find:
The area of the triangle.
Explanation:
To find the area of an equilateral triangle, we need to know the length of one side. In this case, we are given that each side of the triangle is 2x cm.
Finding the value of x:
We are also given that x√3 = √48. To solve for x, we can square both sides of the equation:
(x√3)^2 = (√48)^2
3x^2 = 48
Dividing both sides by 3:
x^2 = 16
Taking the square root of both sides:
x = √16 = 4
Calculating the area of the triangle:
Now that we know the value of x, we can calculate the area of the equilateral triangle. The formula to find the area of an equilateral triangle is:
Area = (√3/4) * side^2
Substituting the value of the side:
Area = (√3/4) * (2x)^2
Area = (√3/4) * (2*4)^2
Area = (√3/4) * 8^2
Area = (√3/4) * 64
Area = (√3/4) * 64
Area = (√3/4) * 64
Area = (1.732/4) * 64
Area = 1.732 * 16
Area = 27.712
Answer:
The area of the equilateral triangle is 27.712 cm².
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Each side of an equilateral triangle is 2x cm. If x√3 = √48, then area of the triangle is?
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Each side of an equilateral triangle is 2x cm. If x√3 = √48, then area of the triangle is? 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 Each side of an equilateral triangle is 2x cm. If x√3 = √48, then area of the triangle is? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each side of an equilateral triangle is 2x cm. If x√3 = √48, then area of the triangle is?.
Each side of an equilateral triangle is 2x cm. If x√3 = √48, then area of the triangle is? 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 Each side of an equilateral triangle is 2x cm. If x√3 = √48, then area of the triangle is? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each side of an equilateral triangle is 2x cm. If x√3 = √48, then area of the triangle is?.
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