Question

area of an incribed circle in an equilateral traingle is 154sq.cm calculate the perimeter of the triangle​

Answer 1

Answer:

Step-by-step explanation:

The area of the circle=154 cm²

πr²=154 cm²

22r²/7=154 cm²

r²=154 cm²*7/22=49 cm²

so r is 7cm

side of the triangle be x cm.

Therefore, semi perimeter=3x/2

Radius of the circle=Area/Semi Perimeter of Δ.

or,7=(√3/4*x²)/(3x/2)

r,7=(√3*x)(3*2) r,7=(√3*x)/6

,7*6=√3*x

,42=√3*x

,42/√3=x

o,x=42/√3

Perimeter=42/√3*3=42√3=42*1.73=72.66 cm.

ANSWERED BY GAUTHMATH