Kathy lives directly east of the park. The football field is directly south of the park. The library sits on the line formed between Kathy’s home and the football field at the exact point where an altitude to the right triangle formed by her home, the park, and the football field could be drawn. The library is 9 miles from her home. The football field is 12 miles from the library.
triangle
The vertex at the lower left is labeled 'Football field.'
The vertex at the upper right is labeled 'Home.'
The vertex at the upper left is labeled 'Park' and is marked with a small square.
A line segment connects the upper left vertex to the hypotenuse at a point that is labeled 'Library.' The angle formed by the hypotenuse and the line segment is marked with a small square.
The distance between the football field and library is labeled 12 miles.
The distance between the library and home is labeled 9 miles.
How far is the library from the park?
How far is the park from the football field?
(1 point)
Responses
6 square root 3 miles; 6 square root 7miles
Image with alt text: 6 square root 3 miles; Image with alt text: 6 square root 7 miles
6 square root 7miles; 6 square root 3miles
Image with alt text: 6 square root 7 miles; Image with alt text: 6 square root 3 miles
square root 33miles, square root 21 miles
Image with alt text: square root 33 miles, Image with alt text: square root 21 miles
square root 21miles, square root 33 miles