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The perimeter of a triangle with sides of integer values is equal to 13. How many such triangles are possible?
Question

The perimeter of a triangle with sides of integer values is equal to 13. How many such triangles are possible?

A.

5

B.

8

C.

7

D.

6

Correct option is A

Given: 
Perimeter of Triangle is equal to integer 13 
Formula Used: 
Perimeter of a triangle = Sum of three sides of triangle
Solution: 
let the sides of triangle be a , b, c.
Then,
Perimeter = 13
a + b + c = 13 
So, possible integer values be 
1 + 6 + 6
2 + 5 + 6
3 + 5 + 5
4 + 4 + 5
6 + 4 + 3
Therefore, 5 triangles are possible​​

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