Multiple choice

The area of the largest triangle that can be inscribed in a semi-circle of radius 4 cm in square centimetres is

  1. 12 cm2

  2. 14 cm2

  3. 18 cm2

  4. 16 cm2
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The largest triangle inscribed in a semi-circle has a base equal to the diameter (2 * radius = 8 cm) and a height equal to the radius (4 cm). Area = 1/2 * base * height = 1/2 * 8 * 4 = 16 cm^2.

AI explanation

The largest triangle inscribed in a semicircle has the diameter as its base and the radius as its height, forming a right-angled triangle. The base length is twice the radius, giving a base of 8 cm, and the height is the radius of 4 cm. Applying the triangle area formula, we calculate one-half times 8 times 4 to get an area of 16 square centimeters.

Keep practicing — related questions