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    Question

    Taking any three of the line segments out of segments of

    length 2 cm, 5 cm, 7 cm and 8 cm, the number of triangles that can be formed is:
    A 2 Correct Answer Incorrect Answer
    B 5 Correct Answer Incorrect Answer
    C 3 Correct Answer Incorrect Answer
    D 4 Correct Answer Incorrect Answer

    Solution

    Check combinations: 2,5, 7:  2+5 ≤7 (Cannot form a triangle) 2,5, 8:  2+5 ≤8 (Cannot form a triangle) 2, 7, 8:2+7 > 8, 2+8> 7, 7+8> 2 (Forms a triangle) 5, 7, 8:5+7> 8,5 +8 > 7, 7+8> 5 (Forms a triangle)   Valid triangles: 2,7,8 5,7,8 The number of triangles that can be formed is 2.

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