Respuesta :
The angles in an equilateral triangle are 60 degrees.
sin 60 = 9 / h where h is hypotenuse ( = side of the triangle)
h = 9 / sin 60 = 10.392
Perimeter = 3 * h = 31.18 to nearest hundredth
sin 60 = 9 / h where h is hypotenuse ( = side of the triangle)
h = 9 / sin 60 = 10.392
Perimeter = 3 * h = 31.18 to nearest hundredth
[tex]\text{Altitude formula=} \dfrac{s \sqrt{3} }{2} \\ \\ 9= \dfrac{s \sqrt{3} }{2} \\ \\ s \sqrt{3}=18 \\ \\ s= \dfrac{18}{ \sqrt{3} } \\ \\ s = \dfrac{18 \sqrt{3} }{3} \\ \\ s =6\sqrt{3} \\ \\ \\ P = 3s \\ \\ P=3 \times 6 \sqrt{3} \\ \\ P = 18 \sqrt{3} \\ \\ \\ P \approx 3 \times 6 \times 1.73 \\ \\ P \approx 31,14[/tex]