the radius of the circumcircle of a right triangle is 5 cm and the altitude drawn to the hypotenuse is 3.5 cm find the area of triangle.
please show with proper diagram
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as we know the diameter of circumcircle is the hypotenuse of right angled triangle .....
radius of circle = 5 cm
so diameter = 2 ×5 = 10 cm
now altitude drawn to hypotenuse makes right angle on hypotenuse.
so considering hypotenuse as base of triangle and altitude drawn on it as height ..
area of triangle = 1/2 × base × height
= 1/2 × 10 × 3.5
= 17.5 sq cm
radius of circle = 5 cm
so diameter = 2 ×5 = 10 cm
now altitude drawn to hypotenuse makes right angle on hypotenuse.
so considering hypotenuse as base of triangle and altitude drawn on it as height ..
area of triangle = 1/2 × base × height
= 1/2 × 10 × 3.5
= 17.5 sq cm
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