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03 Dec 2021, 09:31
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C
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Difficulty:
35%
(medium)
Question Stats:
50% (00:47) correct
50%
(01:06)
wrong
based on 46
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Sam is drawing a polygon. After completing the figure, he observed that the number of diagonals for that polygon is the same as the number of its sides. Which figure did she draw?
A. Triangle
B. Quadrilateral
C. Pentagon
D. Hexagon
E. None of these
A. Triangle
B. Quadrilateral
C. Pentagon
D. Hexagon
E. None of these
03 Dec 2021, 09:46
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Formula for numbers of diagonals of a quadrilaterals
\frac{n(n-3)}{2} According to question solve for n
n=5
Pentagan is figure with 5 sides
Posted from my mobile device
\frac{n(n-3)}{2} According to question solve for n
n=5
Pentagan is figure with 5 sides
Posted from my mobile device
30 Dec 2021, 07:56
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No. of sides in a polygon = n
No. of diagonals in a polygon = (n(n-3))/2
(n(n-3))/2 = n
n^2-3n = 2n
n^2-5n = 0
n(n-5) = 0
since, n≠0
∴ n-5=0 => n=5 (C)
No. of diagonals in a polygon = (n(n-3))/2
(n(n-3))/2 = n
n^2-3n = 2n
n^2-5n = 0
n(n-5) = 0
since, n≠0
∴ n-5=0 => n=5 (C)
