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How many triangles with perimeter 15 can be formed such that all three
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22 Jul 2021, 02:22
22 Jul 2021, 02:22
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Question Stats:
34% (02:39) correct
65% (01:56) wrong based on 23 sessions
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How many triangles with perimeter 15 can be formed such that all three sides are integer?
A. 7
B. 6
C. 8
D. 5
E. 4
A. 7
B. 6
C. 8
D. 5
E. 4
How many triangles with perimeter 15 can be formed such that all three
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23 Jul 2021, 19:16
23 Jul 2021, 19:16
3
In a triangle, the sum of two small sides will always be greater than the larger side.
So the maximum value of the larger side = \(7\), so the sum for other two sides will be \(8\)
With that we will have triangles with sides : 7-1-7 ; 7-2-6 ; 7-3-5 ; 7-4-4
Other value for the lager side can be : \(6\), so the sum for other two sides will be \(9\)
With that we will have triangles with sides : 6-3-6 ; 6-4-5
Other one will be equilateral triangle with all sides 5 : 5-5-5
Total 7 triangle can be formed.
Answer A
So the maximum value of the larger side = \(7\), so the sum for other two sides will be \(8\)
With that we will have triangles with sides : 7-1-7 ; 7-2-6 ; 7-3-5 ; 7-4-4
Other value for the lager side can be : \(6\), so the sum for other two sides will be \(9\)
With that we will have triangles with sides : 6-3-6 ; 6-4-5
Other one will be equilateral triangle with all sides 5 : 5-5-5
Total 7 triangle can be formed.
Answer A
arjunbir wrote:
can anyone please help me with this question?I dont know the right method to solve it.
thank you
thank you
General Discussion
Re: How many triangles with perimeter 15 can be formed such that all three
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23 Jul 2021, 11:00
23 Jul 2021, 11:00
1
can anyone please help me with this question?I dont know the right method to solve it.
thank you
thank you
