Question

An equilateral triangle of side 9cm is inscribed in a circle. Find the radius of the circle. Find it immediately ​

Answer 1

Answer:

LET TRIANGLE ABC IS EQUILATERAL TRIANGLE OF SIDE 9 CM AND AD IS THE MEDIAN WHERE G IS THE CENTROID OF TRIANGLE WHICH DIVIDES MEDIAN INTO 2:1

GD PERPENDICULAR TO BC

IN RIGHT ANGLE TRIANGLE ADB

AD²+DB²=AB² WHERE AB=9 CM AND BD= 4.5CM

AD²+(9/2) ²=9²

AD²=81-81/4

AD²=243/4

AD=√243/4

AD=9√3/2

RADIUS =2/3 AD=2/3×9√3/2=3√3CM

THEREFORE 3√3 IS THE RADIUS OF CIRCLE

Answer 2

Answer:

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