Multiple choice

Choose the correct answer from the alternatives given : The ratio of circumradius and hypotenuse of a right- angled triangle is

  1. 1:2

  2. 2:5

  3. 1:3

  4. 2:1
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A Correct answer
Explanation

In a right-angled triangle, the circumcenter is the midpoint of the hypotenuse. Therefore, the circumradius is half the length of the hypotenuse, making the ratio 1:2.

AI explanation

In a right angled triangle, the hypotenuse is the diameter of its circumcircle (Thales's theorem). Since the circumradius is half of the circumdiameter, the circumradius equals half of the hypotenuse. Therefore, the ratio of the circumradius to the hypotenuse is 1 : 2.

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