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I assume the question refers to a right angled triangle, since a rigt angle, by itself, cannot have an area.

There are three possible answers - depending upon which of the sides are "a" and "b".

Case 1: The right angle is between the sides "a" and "b". The area is 0.5*a*b

Case 2: The side "a" is opposite the right angle (the hypotenuse). Then the third side, c is sqrt(a2-b2). The area is 0.5*b*c

Case 3: The side "b" is opposite the right angle (the hypotenuse). Then the third side, c is sqrt(b2-a2). The area is 0.5*a*c

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Q: Area of a right angle whose sides are 'a' and 'b' is equals?
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