The lengths of the two sides forming the right angle of a right-angled triangle are 21 cm and 20 cm. What is the radius of the circle circumscribing the triangle?
Given,
The lengths of the two sides forming the right angle of a right-angled triangle are 21 cm and 20 cm.
Let the length of hypotenuse of the right-angled triangle = $$H$$
$$=$$> $$H^2=21^2+20^2$$
$$=$$> $$H^2=441+400$$
$$=$$>Â $$H^2=841$$
$$=$$>Â $$H=29$$ cm
We know that diameter of the circle circumscribing the right-angled triangle is equal to length of hypotenuse
$$=$$> Diameter of the circle = 29 cm
$$=$$> Radius of the circle = $$\frac{29}{2}$$ = 14.5 cm
Hence, the correct answer is Option D
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