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anastassius [24]
3 years ago
9

Kristen lives directly east of the park. the football field is directly south of the park. the library sits on the line formed b

etween kristens home and the football the park and the football field could be drawn. the library is 2 miles from her home. the football field is 8 miles from the library.
how far is library from the park?

Mathematics
2 answers:
ira [324]3 years ago
4 0

Answer: Library is 4 miles away from the park.

Step-by-step explanation:

Since we have given that

Let P be the park.

Let F be the football field.

Let H be the Kristen's home.

Since Kristen's home is east of the park and the football field is south of the park.

So, it becomes a right angled triangle PFK.

FL = 8 miles

LK = 2 miles

Since PL is the altitude on the hypotenuse FK.

So, Length of PL i.e distance between library and park is given by

\sqrt{FL.LK}\\\\=\sqrt{2\times 8}\\\\=\sqrt{16}\\\\=4\ miles

Hence, Library is 4 miles away from the park.

Yuliya22 [10]3 years ago
3 0
The answer would be four miles
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