Equilateral triangle

A square is inscribed into an equilateral triangle with a side of 10 cm. Calculate the length of the square side.

Correct answer:

b =  4.641 cm

Step-by-step explanation:

a=10 cm h=a2(a/2)2=102(10/2)2=5 3 cm8.6603 cm  tan(60°)=b/x a=2x+b  tan(60°) (ab)/2=b  a/2 tan(60°)=b(1+tan(60°)/2)  b=2a 1+tan60°/2tan60°=tanπ/3=4.641=9719π/6579=4.641 cm

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