Multiple choice

The area of the largest triangle that can be inscribed in a semi circle of radius r cm is- r त्रिज्या वाले अर्द्धवृत्त में खीचे गये त्रिभुज का अधिकतम क्षेत्रफल है ?

  1. 2r cm2 / 2r सेमी2

  2. 2r2 cm2 / 2r2 सेमी2

  3. r2 cm2 / r2 सेमी2

  4. r2/2 cm2 / 2r2/2 सेमी2

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The largest triangle in a semicircle is a right triangle with the diameter as hypotenuse. For a semicircle of radius r, diameter = 2r. Maximum area = (1/2) × base × height = (1/2) × 2r × r = r².