Respuesta :

mathstudent55
You have a 30-60-90 triangle.
The ratio of the lengths of the sides of a 30-60-90 triangle is

[tex] 1 : \sqrt{3} : 2 [/tex]

The given side is the side whose length is between the other two .
It corresponds to sqrt(3) in the ratio.

[tex] HG = \dfrac{GI}{\sqrt{3}} [/tex]

[tex] HI = 2HG [/tex]

[tex] HG = \dfrac{GI}{\sqrt{3}} = \dfrac{11}{\sqrt{3}} = \dfrac{11 \sqrt{3}}{3} [/tex]

[tex] HI = 2HG = \dfrac{22 \sqrt{3}}{3}[/tex]

Answer:

D on edg!!

Step-by-step explanation:

Otras preguntas