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A polygon has 44 diagnols then the number of sides are?
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A polygon has 44 diagnols then the number of sides are?
Solution:
Given, the polygon has 44 diagonals.
We know that, the number of diagonals in a polygon of n sides is given by:
n(n-3)/2
Therefore, we can write:
n(n-3)/2 = 44
Multiplying both sides by 2, we get:
n(n-3) = 88
Expanding the left-hand side, we get:
n^2 - 3n = 88
Bringing all the terms to one side, we get:
n^2 - 3n - 88 = 0
Solving the quadratic equation, we get:
n = 11 or n = -8
Since the number of sides of a polygon cannot be negative, we reject n = -8.
Hence, the number of sides of the polygon is 11.
Answer: 11
Given, the polygon has 44 diagonals.
We know that, the number of diagonals in a polygon of n sides is given by:
n(n-3)/2
Therefore, we can write:
n(n-3)/2 = 44
Multiplying both sides by 2, we get:
n(n-3) = 88
Expanding the left-hand side, we get:
n^2 - 3n = 88
Bringing all the terms to one side, we get:
n^2 - 3n - 88 = 0
Solving the quadratic equation, we get:
n = 11 or n = -8
Since the number of sides of a polygon cannot be negative, we reject n = -8.
Hence, the number of sides of the polygon is 11.
Answer: 11
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A polygon has 44 diagnols then the number of sides are?
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A polygon has 44 diagnols then the number of sides are? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A polygon has 44 diagnols then the number of sides are? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A polygon has 44 diagnols then the number of sides are?.
A polygon has 44 diagnols then the number of sides are? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A polygon has 44 diagnols then the number of sides are? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A polygon has 44 diagnols then the number of sides are?.
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