The area of a right-angled triangle, the radius of whose circumcircle measures 8cm, and the altitude drawn to the hypotenuses measures 6 cm is ____ sq. cm.

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Detailed Solution

Radius of circle = 8cm and Altitude = 6cm
In a right-angled triangle the hypotenuse is the diameter of the circumcircle.
Hypotenuse = 2(Radius) = 2×8 = 16
Area of a triangle =

\frac{1}{2}

×Base×Height =

\frac{1}{2}

×16×6 = 48 sq cm

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