Question

find the area of the shaded triangle if the area of an equilateral triangle ABC is 36

Answer 1

Step-by-step explanation:

If △ABC is an equilateral triangle of area 36√3cm2, then what is the area of the inscribed circle?

Area of equil triangle of side a is √3 *a^2/4=36√3 by data

Hence a^2=36√3*(4/√3)=144

a=12

perimeter=36

Area of Triangle =r* semiperimeter where r is in radius

r= Area of triangle/ semi perimeter=36√3/18=2√3

Area of incircle=πr^2=12π

Answer 2

Answer:

Area of triangle ABC is 12