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If the perimeter of an equilateral triangle is 36.9 metre and the length of an altitude is 8 metre, then the area of the triangle is:
- a)29.2 m2
- b)39.2 m2
- c)49.2 m2
- d)59.2 m2
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
If the perimeter of an equilateral triangle is 36.9 metre and the len...
Perimeter of the equilateral triangle of side x = 36.9 m
View all questions of this test
∴ side of equilateral triangle x = 36.9/3 = 12.3 m
height = 8
hence area = 1/2×12.3×8 = 49.2 m2
Most Upvoted Answer
If the perimeter of an equilateral triangle is 36.9 metre and the len...
Given information:
- Perimeter of the equilateral triangle = 36.9 meters
- Length of the altitude = 8 meters
To find:
- Area of the equilateral triangle
Solution:
1. Finding the length of each side of the triangle:
- An equilateral triangle has all sides equal.
- Therefore, the perimeter of the triangle is three times the length of one side.
- Perimeter = 3 * side length
- 36.9 = 3 * side length
- side length = 36.9 / 3
- side length = 12.3 meters
2. Finding the area of the triangle:
- The area of an equilateral triangle can be calculated using the formula: Area = (sqrt(3) / 4) * side length^2
- Plugging in the values, we get:
- Area = (sqrt(3) / 4) * (12.3)^2
- Area = (1.732 / 4) * 151.29
- Area = 1.732 * 37.8225
- Area ≈ 65.3673
3. Rounding the area to one decimal place:
- The given options have the area rounded to one decimal place.
- Rounding 65.3673 to one decimal place gives 65.4.
4. Comparing the rounded area to the given options:
- The closest option to the rounded area is option C, which is 49.2 m^2.
Therefore, the correct answer is option C) 49.2 m^2.
- Perimeter of the equilateral triangle = 36.9 meters
- Length of the altitude = 8 meters
To find:
- Area of the equilateral triangle
Solution:
1. Finding the length of each side of the triangle:
- An equilateral triangle has all sides equal.
- Therefore, the perimeter of the triangle is three times the length of one side.
- Perimeter = 3 * side length
- 36.9 = 3 * side length
- side length = 36.9 / 3
- side length = 12.3 meters
2. Finding the area of the triangle:
- The area of an equilateral triangle can be calculated using the formula: Area = (sqrt(3) / 4) * side length^2
- Plugging in the values, we get:
- Area = (sqrt(3) / 4) * (12.3)^2
- Area = (1.732 / 4) * 151.29
- Area = 1.732 * 37.8225
- Area ≈ 65.3673
3. Rounding the area to one decimal place:
- The given options have the area rounded to one decimal place.
- Rounding 65.3673 to one decimal place gives 65.4.
4. Comparing the rounded area to the given options:
- The closest option to the rounded area is option C, which is 49.2 m^2.
Therefore, the correct answer is option C) 49.2 m^2.
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If the perimeter of an equilateral triangle is 36.9 metre and the length of an altitude is 8 metre, then the area of the triangle is:a)29.2 m2b)39.2 m2c)49.2 m2d)59.2 m2Correct answer is option 'C'. Can you explain this answer?
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If the perimeter of an equilateral triangle is 36.9 metre and the length of an altitude is 8 metre, then the area of the triangle is:a)29.2 m2b)39.2 m2c)49.2 m2d)59.2 m2Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about If the perimeter of an equilateral triangle is 36.9 metre and the length of an altitude is 8 metre, then the area of the triangle is:a)29.2 m2b)39.2 m2c)49.2 m2d)59.2 m2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the perimeter of an equilateral triangle is 36.9 metre and the length of an altitude is 8 metre, then the area of the triangle is:a)29.2 m2b)39.2 m2c)49.2 m2d)59.2 m2Correct answer is option 'C'. Can you explain this answer?.
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If the perimeter of an equilateral triangle is 36.9 metre and the length of an altitude is 8 metre, then the area of the triangle is:a)29.2 m2b)39.2 m2c)49.2 m2d)59.2 m2Correct answer is option 'C'. Can you explain this answer?, a detailed solution for If the perimeter of an equilateral triangle is 36.9 metre and the length of an altitude is 8 metre, then the area of the triangle is:a)29.2 m2b)39.2 m2c)49.2 m2d)59.2 m2Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of If the perimeter of an equilateral triangle is 36.9 metre and the length of an altitude is 8 metre, then the area of the triangle is:a)29.2 m2b)39.2 m2c)49.2 m2d)59.2 m2Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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