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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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