Question 67

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?

Solution

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 = $$H$$

$$=$$> $$H^2=21^2+20^2$$

$$=$$> $$H^2=441+400$$

$$=$$> $$H^2=841$$

$$=$$> $$H=29$$ 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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