how many triangle with a perimeter of 8 units have a side length as integers
Answers
Answer:
Given : triangles with a perimeter of 8 units have side lengths as integers
To Find : How many such triangles possible
Solution:
triangles with a perimeter of 8 units
Possible triplets having sum 8
1 , 1 , 6
1 , 2 , 5
1 , 3 , 4
2 , 2 , 4
2 , 3 , 3
Now in any triangle sum of any two sides is greater than third side
1 + 1 = 2 < 6 hence 1 , 1 , 6 can not be triangle
1 + 2 = 3 < 5 hence 1 , 2 , 5 can not be triangle
1 + 3 = 4 = 4 Hence 1 , 3 , 4 can not be triangle
2 + 2 = 4 = 4 hence 2 , 2 , 4 can not be triangle
2 + 3 = 5 > 3
3 + 3 = 6 > 2
2 , 3 , 3 is the only possible triangle
only 1 triangle with a perimeter of 8 units have side lengths as integers
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