Multiple choice

Find the area of a triangle, the radius of whose circumcircle is 3 cm and the length of the altitude drawn from the opposite vertex to the hypotenuse is 2 cm

  1. 3

  2. 2

  3. 6

  4. 12
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

In a right triangle, the radius of the circumcircle is half the hypotenuse. So, hypotenuse = 2 * 3 = 6 cm. Area = (1/2) * base * height = (1/2) * hypotenuse * altitude_to_hypotenuse = (1/2) * 6 * 2 = 6.

AI explanation

The hypotenuse of a right-angled triangle acts as the diameter of its circumcircle, making the hypotenuse equal to 6 cm using the given radius of 3 cm. Using the area of a triangle formula, we multiply the base by the corresponding height and divide by 2. This gives the area as (6 * 2) / 2, which equals 6 cm^2.

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