a,b and c are three sides of a right angled triangle . a,b and c are all integers . Area of the triangle is T1. From all three sides a,b and c , we draw a square having areas as S1, S2 and S3 . Now, Total area ( T1+S1+S2+S3) is :  Choices:
A) a fractional value
B) may be even or odd
C) odd only
D) even only
E) None of these
Take any of the pythagorean triplets (3,4,5),(5,12,13),(7,24,25)..e.t.c   I will consider the first one.. a=3,b=4,c=5   then T1= 1/2*3*4= 
<gadget id="calculator">1/2*3*4</gadget>
<output>6</output>
6(always be even for right angle triangle)   S1= 9(odd)   S2=16(even)   S3=25(odd)   Now T1+S1+S2+S3= 56(even).   also even+even=even, odd+odd=even   ANSWER:even only
<result>D</result>
a,b and c are three sides of a right angled triangle . a,b and c are all integers . Area of the triangle is T1. From all three sides a,b and c , we draw a square having areas as S1, S2 and S3 . Now, Total area ( T1+S1+S2+S3) is :