Questions
Given five line segments of lengths 2, 3, 4, 5, 6 units. Then the number of triangles that can be formed by joining these lines is
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Correct option is A
We know that in any triangle the sum of two sides is always greater than the third side.∴ The triangle will not be formed if we select segments of lengths (2, 3, 5), (2, 3, 6) or (2, 4, 6).Hence number of triangles formed =5C3−3.Similar Questions
There arepoints in a plane, no two of which are in a straight line except 4, all of which are in a straight line. The number of triangles that can be formed by using these points is
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