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 5 miles from her home. The football field is 8 miles from the library.

Question

anonymous · Answer

oops 
a.	How far is library from the park?
b.	How far is the park from the football field?

nikato · Answer

Do you have a picture?

anonymous · Answer

Yes I do

nikato · Answer

This will help you http://www.regentsprep.org/Regents/math/geometry/GP12/LMeanP.htm

anonymous · Answer

it wont help...
i cant read stuff and figure it out

nikato · Answer

Well then...
Since a is asking you for the altitude of the right triangle...

Then find it, it is the sqrt of 8x5

anonymous · Answer

2 sqrt 10

anonymous · Answer

but that doesnt help there are two answers with 2 sqrt 10

nikato · Answer

Ok. Then lets find b.

Since that's a leg of the triangle

It's the sqrt of 8x(8+5)
Which the the hypotenuse,(8+5) and the part of the hypotenuse adjacent to the leg,8

anonymous · Answer

I dont get what do i do?

nikato · Answer

Sqrt of 8* (8+5)

anonymous · Answer

26 sqrt 2?

nikato · Answer

The other way around

anonymous · Answer

but when i put it in my calculator thats what i got

nikato · Answer

2 sqrt 26 should have been your answer

nikato · Answer

8x13= 104
104 = 4x 26
So sqrt of 104= 2 root 26

anonymous · Answer

oh ok. ty

nikato · Answer

Yea, no problem. You just a had a minor error