Question

Q20. Area of largest triangle that can be inscribed in a semi-circle of radius r units is: (a) r2 sq. units (b) 5r sq. unit (c) 2r2 sq. unit (d) 4r2 sq. unit​

Answer 1

Answer:

r2(a)

Step-by-step explanation:

In a semi-circle, the largest triangle is the one which has its base equal to the diameter of semicircle and its height will be equal to radius 'r' of the semi-circle.

Area of the biggest triangle =1/2 base height

                                              = 1/2 (diameter) (radius)

                                              = 1/2 2r r

                                              = 2r^2/2

                                              = r^2(a)