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Question

Find the area of a right-angled triangle, the radius of whose circumcircle measure 8 cm and the altitude drawn to the hypotenuse measures 6 cm.

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Solution


Given: Radius = 8 cm
​Height = 6 cm
Area=?
In a right-angled triangle, the centre of the circumcircle is the mid-point of the hypotenuse.

Hypotenuse=2×(radius of circumcircle) for a right triangle = 2×8 =16 cmSo, hypotenuse= 16 cm
Now, base = 16 cm and height = 6 cm

Area of the triangle =12×base×height

=12×16×6=48 cm2

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