If the sides x,5,7 from a triangle then find how many integer value are possible for x?

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For a triangle with sides a, b and c it is essential that a+b>c, a+c>b and b+c>a.

The triangle that is given has sides x, 5, 7. The sides are related by x + 5 > 7 and 5 + 7 > x

=> x > 2 and 12 >...

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For a triangle with sides a, b and c it is essential that a+b>c, a+c>b and b+c>a.

The triangle that is given has sides x, 5, 7. The sides are related by x + 5 > 7 and 5 + 7 > x

=> x > 2 and 12 > x

The side x lies between 2 and 12. Also, as x has a integral value it can take on the values 3, 4, 5, 6, 7, 8, 9` `, 10 and 11.

The value of x can be 3, 4, 5, 6, 7, 8, 9, 10 and 11

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