A right triangle is drawn in a semicircle of radius \displaystyle | Filo
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A right triangle is drawn in a semicircle of radius  with one of its legs along the diameter. The maximum area of the triangle is

Correct Answer: Option(a)
Solution: given that, radius
Since, its one side is along the diameter
Therefore, diameter is the hypotenuse of the triangle      ....[ prop. of semicircle]
let & be the other sides of the triangle
We know that A.MG.M

Area of right angled triangle

Ans: A
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