The diagram shows three aid stations in a national park. Choose the values of x, y, and z that COULD represent the distances bet
ween the stations.
A) x = 7 miles, y = 8 miles, z = 18 miles
B) x = 4 miles, y = 7 miles, z = 12 miles
C) x = 5 miles, y = 9 miles, z = 14 miles
D) x = 8 miles, y = 12 miles, z = 15 miles
A) x = 7 miles, y = 8 miles, z = 18 miles
B) x = 4 miles, y = 7 miles, z = 12 miles
C) x = 5 miles, y = 9 miles, z = 14 miles
D) x = 8 miles, y = 12 miles, z = 15 miles
2 answers:
Answer:
The correct option is D.
Step-by-step explanation:
The diagram shows three aid stations in a national park.
From the given graph it is clear that the three aid stations forms a triangle.
According to the properties of triangle the sum of two smaller sides is more than the larger side.
In option A, the given sides are x = 7 miles, y = 8 miles, z = 18 miles.
Therefore the option A is incorrect.
In option B, the given sides are x = 4 miles, y = 7 miles, z = 12 miles.
Therefore the option B is incorrect.
In option C, the given sides are x = 5 miles, y = 9 miles, z = 14 miles.
Therefore the option C is incorrect.
In option D, the given sides are x = 8 miles, y = 12 miles, z = 15 miles.
Here the sum of two smaller sides is more than the larger side. Therefore the option D is correct.
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