Question 66
The lengths $a$, $b$ and $c$ of the sides of the triangle $ABC$ satisfy $c^2 = 2ab$ and $a^2 + c^2 = 3b^2$. The inner angles of the triangle $ABC$ measure
(A) $30^\circ$, $60^\circ$ and $90^\circ$.
(B) $45^\circ$, $60^\circ$ and $75^\circ$.
(C) $45^\circ$, $45^\circ$ and $90^\circ$.
(D) $60^\circ$, $60^\circ$ and $60^\circ$.
(E) It is impossible to determine.
(A) $30^\circ$, $60^\circ$ and $90^\circ$.
(B) $45^\circ$, $60^\circ$ and $75^\circ$.
(C) $45^\circ$, $45^\circ$ and $90^\circ$.
(D) $60^\circ$, $60^\circ$ and $60^\circ$.
(E) It is impossible to determine.