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07 Sep 2018, 00:56
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
61% (01:37) correct
39%
(02:03)
wrong
based on 46
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Not Attempted Yet
If a polygon has n sides which of the following represents the number of distinct triangles that can be formed by joining a corner of the polygon to all other corners of the polygon?
A. n/3
B. (3n - 2)/5
C. n - 2
D. 5n - 2
E. 180(n - 2)
A. n/3
B. (3n - 2)/5
C. n - 2
D. 5n - 2
E. 180(n - 2)
07 Sep 2018, 06:23
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Bunuel
Easiest way is to choose a triangle and a square..
1) say it is a triangle so n =3 and triangle that can be formed is just 1
A is 3/3=1 and C is n-2=3-2=1
So two possible answer
2) now take n =4 that is a quadrilateral.
Number of triangles are 2
Check A and C
A. n/3=4/3...NO
C. n-2=4-2=2...yes
C
08 Sep 2018, 23:20
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Bunuel
Observe that joining a given corner of quadrilateral with the other corners, 2 triangles can be formed.
Eliminate A, D, E.
In a pentagon, similarly 3 triangles can be formed. Again checking answer choices B and C. Only C remains.
Answer C.
