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The side of a triangle are distinct integers in an arithmetic progression. If the smallest side is 10, the number of such triangles is-

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The side of a triangle are distinct integers in an arithmetic progression. If the smallest side is 10, the number of such triangles is-
A. 8
B. 9
C. 10
D. Infinitely many
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Correct Answer - B
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an a, b, c are an AP so 10, 10 + d, 10 + 2d
sum of `a+bgtc`
`20+dgt10+2d`.
`10gtd`
As the d is minimum, Hence total possibility of is 9
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