A geometry problem by dhana dash
Geometry
Level
2
The lengths of the sides of a triangle are x, 13 and 37 units. How many integer values of x are possible?
22
25
24
23
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1 solution
The sum of any two sides of the triangle should be greater than the third side for the triangle to exist! Therefore x+37>13, x+13>37, 13+37>x. Therefore 24<x<50 hence 25 integral values of x satisfy the above inequalities.