Multiple choice

What is the area of the largest triangle inscribed in a semi-circle with radius 'r'?

  1. r2

  2. r3

  3. 2r2

  4. 2r3

  5. -
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Of all the triangles inscribed in a semi-circle, with the diameter as base, the one with the greatest area is the one with the largest altitude (the radius), i.e. the isosceles triangle. Thus, the area = 1/2 * 2r * r = r2. Hence, option (1) is correct.

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