Area of the largest triangle that can be inscribed in a semi-circle of radius r units is: a) r^2 sq - Maths - Areas Related to Circles

Question

Area of the largest triangle that can be inscribed in a
semi-circle of radius r units is:
a) r^2 sq units
b) 1/2 r^2 sq units
c) 2 r^2 sq units
d) under root 2 r^2 sq units

mahek_flower21... · Accepted Answer

it would be a) bcoz one of the side will become the diameter i e
2r now draw the altitude of d triangle by joining the centre of the
semicircle n one of the vertices of d triangle which will be the
radius of the semicircle now area of d triangle = 1/2 x 2r x r =
r^2 sq units

Area of the largest triangle that can be inscribed in a semi-circle of radius r units is: a) r^2 sq.units b) 1/2 r^2 sq. units c) 2 r^2 sq.units d) under root 2 r^2 sq.units

Area of the largest triangle that can be inscribed in a semi-circle of radius r units is:

a) r^2 sq.units

b) 1/2 r^2 sq. units

c) 2 r^2 sq.units

d) under root 2 r^2 sq.units