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Posted by on Friday, January 20, 2012 at 6:15pm.

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 4 miles from her home. The football field is 10 miles from the library.
a. How far is library from the park?
b. How far is the park from the football field?

7 miles; 12 miles
2sqrt10 miles; 2sqrt6 miles
sqrt14 miles; 2sqrt6 miles
2sqrt10 miles; 2sqrt35 miles

  • Geometry - , Saturday, January 21, 2012 at 12:02am

    Draw a diagram where
    P = park
    K = Kristen's house
    F is the field
    L is the library

    a = PL
    b = PF
    h is the altitude, PL

    b/a = h/4
    a/b = h/10

    h/4 = 10/h
    h^2 = 40
    h = 2√10

    b^2 = h^2 + 10^2 = 40 + 100 = 140
    b = 2√35

    Choice (D)

  • Geometry - , Saturday, January 21, 2012 at 12:03am

    Oops a = PK

  • Geometry - , Wednesday, May 16, 2012 at 9:52am

    tduktuk

  • Geometry - , Friday, May 25, 2012 at 1:23pm

    Thank you so much this was complicated

  • Geometry - , Monday, May 26, 2014 at 3:49pm

    this ballin hard

  • Geometry - , Friday, May 8, 2015 at 10:26am

    Was this right?

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