Question

# A square is inscribes in an equilateral triangle . Find the ratio of the square to that of the triangle?

Open in App
Solution

## AD is angular bisector of A. Hence angle GAC or DAC = 30 deg. If we take the point at which square touches AC as K, then angle AKG = 60 deg, since angle AGK = 90 deg. tan AKG=AGGK GK=a2, since AD also divides the side of square into half. therefore,tan AKG=AGa2=√3 because AKG = 60 deg. →AG=√3×a2

Suggest Corrections
0
Related Videos
Triangle Construction 2
MATHEMATICS
Watch in App