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If a wire of length 267 cm be bent to form an equilateral triangle, then what is the length of side of the equilateral triangle?
- a)69 cm
- b)79 cm
- c)89 cm
- d)99 cm
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
If a wire of length 267 cm be bent to form an equilateral triangle, th...
If x is required length then
x + x + x = 267
3x = 267 ⇒
x + x + x = 267
3x = 267 ⇒
Most Upvoted Answer
If a wire of length 267 cm be bent to form an equilateral triangle, th...
Understanding the Problem
To determine the length of each side of an equilateral triangle formed by bending a wire, we first need to understand the properties of an equilateral triangle.
Key Properties of an Equilateral Triangle
- All three sides are equal in length.
- The perimeter (total length of all sides) can be calculated by adding the lengths of each side.
Calculating the Side Length
1. Total Length of Wire:
- The wire is 267 cm long.
2. Perimeter of the Triangle:
- Since the triangle is equilateral, the perimeter is the sum of all three sides.
- If each side is denoted as 's', then the formula for the perimeter is:
Perimeter = s + s + s = 3s.
3. Setting Up the Equation:
- We know the total length of the wire (which is the perimeter of the triangle) is 267 cm.
- Therefore, we can set up the equation:
3s = 267 cm.
4. Solving for 's':
- To find the length of one side, divide both sides of the equation by 3:
s = 267 cm / 3.
5. Calculating the Value:
- s = 89 cm.
Conclusion
Thus, the length of each side of the equilateral triangle formed by bending the wire is 89 cm. The correct answer is option 'C'.
To determine the length of each side of an equilateral triangle formed by bending a wire, we first need to understand the properties of an equilateral triangle.
Key Properties of an Equilateral Triangle
- All three sides are equal in length.
- The perimeter (total length of all sides) can be calculated by adding the lengths of each side.
Calculating the Side Length
1. Total Length of Wire:
- The wire is 267 cm long.
2. Perimeter of the Triangle:
- Since the triangle is equilateral, the perimeter is the sum of all three sides.
- If each side is denoted as 's', then the formula for the perimeter is:
Perimeter = s + s + s = 3s.
3. Setting Up the Equation:
- We know the total length of the wire (which is the perimeter of the triangle) is 267 cm.
- Therefore, we can set up the equation:
3s = 267 cm.
4. Solving for 's':
- To find the length of one side, divide both sides of the equation by 3:
s = 267 cm / 3.
5. Calculating the Value:
- s = 89 cm.
Conclusion
Thus, the length of each side of the equilateral triangle formed by bending the wire is 89 cm. The correct answer is option 'C'.
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If a wire of length 267 cm be bent to form an equilateral triangle, th...
C
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If a wire of length 267 cm be bent to form an equilateral triangle, then what is the length of side of the equilateral triangle?a)69 cmb)79 cmc)89 cmd)99 cmCorrect answer is option 'C'. Can you explain this answer?
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If a wire of length 267 cm be bent to form an equilateral triangle, then what is the length of side of the equilateral triangle?a)69 cmb)79 cmc)89 cmd)99 cmCorrect answer is option 'C'. Can you explain this answer? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about If a wire of length 267 cm be bent to form an equilateral triangle, then what is the length of side of the equilateral triangle?a)69 cmb)79 cmc)89 cmd)99 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a wire of length 267 cm be bent to form an equilateral triangle, then what is the length of side of the equilateral triangle?a)69 cmb)79 cmc)89 cmd)99 cmCorrect answer is option 'C'. Can you explain this answer?.
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