Given: Angle t is right angle, a = b , Since t is Rt angle, side a is perpendicular to side b or equivalent to height Therefore, area (A) = 1/2 a. b = 1/2 a^2 or 1/2 b^2 ... .... .... ..... ..... (1) Also, c^2= a^2+ b^2 = 2a^2 or 2b^2 is given for Rt angled triangle. Therefore,...