1. ΔABC is a right angled triangle, the radius of its circumcircle is 3 cm and the length of its altitude drawn from the opposite vertex to the hypotenuse is 2 cm. Then the area of the triangle is
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By: anil on 05 May 2019 01.49 am
$$ riangle$$ ABC is right angled at B and BD is perpendicular to AC and BD = 2 cm Circumcentre of a right angled triangle lies at the mid point of its hypotenuse => AD = CD Thus, AC = $$2 imes $$ CD = 6 cm $$ herefore$$ Area of $$ riangle$$ ABC = $$frac{1}{2} imes BD imes CD$$ = $$frac{1}{2} imes 2 imes 6=6$$ $$cm^2$$ => Ans - (C)
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