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Given : two sides of a triangle 15 and 9 cm
To Find : possible length of third side of triangle
Solution:
A side of a triangle must be shorter than sum of other two sides
two sides of a triangle 15 and 9 cm
Let say third side = x cm
9 + x > 15 => x > 6
9 + 15 > x => x < 24
15 + x > 9 always true as 15 > 9
6 < x < 24
in the given options 9 and 16 satisfies this
Triangle with length 6 , 9 and 11
6 + 9 > 11
9 + 11 > 6
6 + 11 > 9
Triangle can be constructed as sum of any two sides is greater than the remaining side
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