If three sides of the triangle are 8 , 15 and S respectively then the how many values can S ? Choose one:  A) [A] 6  B) [B] 7  C) [C] 8  D) [D]9  E) [E] infinite number of values
Needed: How many Values can S take   Concept: Sum of any two sides of a triangle is greater then the third side.   Case 1: 8+5 &gt; S =&gt; S&lt;13   Case 2: 5+S &gt; 8 =&gt; S &gt;3   Case 3: 8+S &gt; 5 =&gt;S &gt; -3 (Always true since S is one side of a Triangle)   Finally, 3 &lt; S &lt; 13. So, we can have infinite number of sides between 3 and 13.   Answer = E   PS: If question said S can take only integer value, the S = 9. Answer choice [D]9.
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If three sides of the triangle are 8 , 15 and S respectively then the how many values can S ?