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Leni [432]
4 years ago
10

F is the midpoint of GH. Point G is located at 32 and F is at 105. What is the location of point H?

Mathematics
2 answers:
castortr0y [4]4 years ago
8 0
Is there a graph or something to the question? 
kumpel [21]4 years ago
5 0
The distance between G and F is 73, so add that to F and you get your answer which is 178.
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Naddik [55]
<h3>Answer:  29 miles (approximate)</h3>

======================================================

Explanation:

Segment AB is already given to be 19 miles long.

I'm assuming your teacher meant to ask about side BC, which is side 'a' since it's opposite angle A.

Use the law of cosines to find the missing side

a^2 = b^2 + c^2 - 2*b*c*cos(A)

a^2 = 12^2 + 19^2 - 2*12*19*cos(138)

a^2 = 843.874040417691

a = sqrt(843.874040417691)

a = 29.0495101579647

a = 29 when rounding to the nearest whole number

Side BC is roughly 29 miles long.

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