A square with area 16 is perfectly inscribed inside an equilateral triangle. What is the perimeter of the triangle?
(83√)3+4
43√+4
83√+12
24+12
(323√)3+12
(83√)3+4
43√+4
83√+12
24+12
(323√)3+12
Refer to the diagram below,himu wrote:A square with area 16 is perfectly inscribed inside an equilateral triangle. What is the perimeter of the triangle?
Area of the square PQRS is 16.
So, PQ = QR = RS = SP = 4
Triangle APQ is a 30-60-90 triangle with PQ = 4.
Hence, AQ = 4/√3
Similarly, RB = 4/√3
So, AB = AQ + QR + RB = 4/√3 + 4 + 4/√3 = 4 + 8/√3
--> Perimeter of the triangle = 3*(4 + 8/√3) = (12 + 8√3)
Your options are not properly typed.
But it seems C is the correct answer.
