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