A) $a \neq b \neq c,\alpha = \gamma = 90{^\circ},\beta \neq 90{^\circ}$
B) $a = b = c,\alpha = \beta = \gamma = 90{^\circ}$
C) $a = b = c,\alpha = \beta = 90{^\circ},\gamma = 120{^\circ}$
D) $a \neq b = c,\alpha = \beta = \gamma = 120{^\circ}$
Explanation
The correct answer is Option A: $a \neq b \neq c,\alpha = \gamma = 90{^\circ},\beta \neq 90{^\circ}$.
A detailed explanation for this question is being prepared.