Q14 of 53 Page 153

AB = AC and ∠A is right angle in ΔABC. If BC = √2 a, then find the area of the triangle. (a ∈ R, a > 0)

14.JPG


mA = 90


Let AB = AC = x


BC = a


Applying Pythagoras Theorem :


∴ x2 + x2 = 2a2


⇒ 2x2 = 2a2


⇒ x2 = a2


⇒ x = a


∴ Area of the triangle


⇒ Area of the triangle


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