First considering Figure A
Leg a= 9 units (length) Leg b= 36 units (bottom) Leg c= 64 units (diagonal length)
Square of largest side = c² = (64)²=4096
Sum of squares of two smaller sides = a² + b²
= 9² + (36)²
= 81 + 1296
= 1377
c²≠ a² + b²→Does not prove Pythagorean Theorem
Reading Figure B
Leg a= 25 units (length) Leg b= 144 units (bottom) Leg c= 169 units (diagonal length)
Square of largest side = c² = (169)²=28561
Sum of squares of two smaller sides = a² + b²
= (144)² + (25)²
= 20736 +625
= 21361
c²≠ a² + b²→Does not prove Pythagorean Theorem
But none of above two information,about two image proves pythagorean theorem.
So , Reading image A like this
a²= 9→a=3 units, b²= 36→→b=6 units , c²= 64→→→c= 8 units
Square of largest side = c² = 64
Also, a² + b² = 9 + 36=45
c²≠ a² + b²→Does not prove Pythagorean Theorem
Reading Image B
a²=25→a=5,b²= 144→→b=12 units , c²= 169→→→c= 13 units
Square of largest side = c² = 169
Also, a² + b² = 144 + 25 =169
c²= a² + b²→→ prove Pythagorean Theorem
Hence ,If you read image in the second way described by me, then this figure B proves Pythagorean Theorem.
