Question

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

Answer 1

And what are we to solve for?

Answer 2

The distances between the library and the park, and the park and football field. Sorry about that.

Answer 3

@johnweldon1993

Answer 4

Okay so we have 2 similar triangles



and



So lets draw them separate



So now we just solve that for 'x' which would be the amplitude or the distance between the library and the park