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Perimeter of a triangular field is 540 meter. The ratio of its arms is 5 : 12 : 13. The area of this field is
- a)9450 sq. meter
- b)9320 sq. meter
- c)9720 sq. meter
- d)9560 sq. meter
Correct answer is option 'C'. Can you explain this answer?
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Perimeter of a triangular field is 540 meter. The ratio of its arms i...
Given:
Perimeter of the triangular field = 540 meters
Ratio of the arms = 5:12:13
To find:
Area of the field
Solution:
Let the sides of the triangle be 5x, 12x, and 13x.
As per the given ratio, the perimeter of the triangle is:
5x + 12x + 13x = 30x = 540 meters
Therefore, x = 18 meters
The sides of the triangle are:
5x = 90 meters
12x = 216 meters
13x = 234 meters
Let s be the semi-perimeter of the triangle, then:
s = (90 + 216 + 234)/2 = 270 meters
Using Heron's formula, the area of the triangle can be calculated as:
Area = sqrt(s(s-90)(s-216)(s-234))
= sqrt(270*180*54*36)
= sqrt(10584000)
= 3240 meters²
Therefore, the area of the triangular field is 3240 square meters, which is option (c)
Perimeter of the triangular field = 540 meters
Ratio of the arms = 5:12:13
To find:
Area of the field
Solution:
Let the sides of the triangle be 5x, 12x, and 13x.
As per the given ratio, the perimeter of the triangle is:
5x + 12x + 13x = 30x = 540 meters
Therefore, x = 18 meters
The sides of the triangle are:
5x = 90 meters
12x = 216 meters
13x = 234 meters
Let s be the semi-perimeter of the triangle, then:
s = (90 + 216 + 234)/2 = 270 meters
Using Heron's formula, the area of the triangle can be calculated as:
Area = sqrt(s(s-90)(s-216)(s-234))
= sqrt(270*180*54*36)
= sqrt(10584000)
= 3240 meters²
Therefore, the area of the triangular field is 3240 square meters, which is option (c)
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Community Answer
Perimeter of a triangular field is 540 meter. The ratio of its arms i...
Given:
Perimeter = 540 m
Ratio of sides = 5 : 12 : 13
Calculation:
Let the lengths be 5x, 12x and 13x
Perimeter of triangle = 5x + 12x + 13x = 30x
30x = 540
x = 18
This is a right angled triangle as the sides are 5x, 12x and 13x satisfy pythagoras theorem.
Let base be 5x and height be 12x.
Area of right angled triangle = 1/2 × base × height
= 1/2 × 5x × 12x = 30x2
Put the value of x, we get
Area = 30x2 = 30 × (18)2 = 9720 m2
Hence, option 3 is correct.
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Perimeter of a triangular field is 540 meter. The ratio of its arms is 5 : 12 : 13. The area of this field isa)9450 sq. meterb)9320 sq. meterc)9720 sq. meterd)9560 sq. meterCorrect answer is option 'C'. Can you explain this answer?
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Perimeter of a triangular field is 540 meter. The ratio of its arms is 5 : 12 : 13. The area of this field isa)9450 sq. meterb)9320 sq. meterc)9720 sq. meterd)9560 sq. meterCorrect answer is option 'C'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Perimeter of a triangular field is 540 meter. The ratio of its arms is 5 : 12 : 13. The area of this field isa)9450 sq. meterb)9320 sq. meterc)9720 sq. meterd)9560 sq. meterCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Perimeter of a triangular field is 540 meter. The ratio of its arms is 5 : 12 : 13. The area of this field isa)9450 sq. meterb)9320 sq. meterc)9720 sq. meterd)9560 sq. meterCorrect answer is option 'C'. Can you explain this answer?.
Perimeter of a triangular field is 540 meter. The ratio of its arms is 5 : 12 : 13. The area of this field isa)9450 sq. meterb)9320 sq. meterc)9720 sq. meterd)9560 sq. meterCorrect answer is option 'C'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Perimeter of a triangular field is 540 meter. The ratio of its arms is 5 : 12 : 13. The area of this field isa)9450 sq. meterb)9320 sq. meterc)9720 sq. meterd)9560 sq. meterCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Perimeter of a triangular field is 540 meter. The ratio of its arms is 5 : 12 : 13. The area of this field isa)9450 sq. meterb)9320 sq. meterc)9720 sq. meterd)9560 sq. meterCorrect answer is option 'C'. Can you explain this answer?.
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Perimeter of a triangular field is 540 meter. The ratio of its arms is 5 : 12 : 13. The area of this field isa)9450 sq. meterb)9320 sq. meterc)9720 sq. meterd)9560 sq. meterCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Perimeter of a triangular field is 540 meter. The ratio of its arms is 5 : 12 : 13. The area of this field isa)9450 sq. meterb)9320 sq. meterc)9720 sq. meterd)9560 sq. meterCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Perimeter of a triangular field is 540 meter. The ratio of its arms is 5 : 12 : 13. The area of this field isa)9450 sq. meterb)9320 sq. meterc)9720 sq. meterd)9560 sq. meterCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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