Multiple choice

The radius of circum-circle of a right-angled triangle is 10 cm and the altitude drawn to the hypotenuse is 8 cm. What is the area of the triangle?

  1. 60 cm2

  2. 80 cm2

  3. 100 cm2

  4. 120 cm2
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B Correct answer
Explanation

In a right triangle, the circumradius R = hypotenuse/2. So, hypotenuse = 20 cm. Area = 1/2 * base * height = 1/2 * hypotenuse * altitude = 1/2 * 20 * 8 = 80.

AI explanation

The hypotenuse of a right-angled triangle is the diameter of its circumcircle, so the hypotenuse measures 20 cm. The area of a triangle equals half of the base multiplied by the height, so using the hypotenuse as the base and the given altitude gives 0.5 multiplied by 20 multiplied by 8. This calculates to 80 square cm.

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