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