Find HG and HI. A. HG = 11/ square root 3 and HI = 7 square root 3
B. HG= 11 square root 3/3 and HI= 7 square root 3/3
C. HG= 11 square root 3 and HI = 23 square root 3
D. HG= 11 square root 3/3 and HI = 22 square root 3/3

 Choice D

HG= 11 square root 3/3 and HI = 22 square root 3/3

In other words,

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Explanation:

Let's say that x is the short leg and y is the long leg

For any 30-60-90 triangle, we have this connection:

The long leg y is exactly sqrt(3) times longer compared to the short leg x.

Let's solve for x and then plug in y = 11

Side HG, the shorter leg, has an exact length of

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Once we know the short leg, we double that expression to get the length of the hypotenuse. Like before, this only applies to 30-60-90 triangles.

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Since and , this shows that choice D is the final answer.

right

step-by-step explanation:

hiking down a winding trail.

step-by-step explanation: