Some question: The sticks of same length are used to form a triangle as shown below.If 87 such sticks are used then how many triangles can be formed?\nOptions:\n(A) 43\n(B) 44\n(C) 45\n(D) 465\n(E) 47
Some stream of consciousness:
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First triangle is formed by using 3 sticks, but any subsequent triangle may be formed by using 2 sticks. Therefore, If 1st triangles uses 3 sticks, Remaining sticks = 87 - 3 = 84. With these 84, we can form 42 triangles. So total = 42 + 1 = 43 The answer: (A).
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