sqrt( 13^2 + 10^1) = sqrt ( 169+100) = sqrt(269) = 16 feet + (4 + 5/16) inches
Beebah B.
asked • 08/13/20Geometry homework
In basketball, freethrows are taken from the freethrow line, which is 13 feet from a point directly below the basket. The basket is 10 feet above the floor. How far is it from the freethrow line to the basket?
2 Answers By Expert Tutors
Brenden E. answered • 08/13/20
MIT PhD & former Dartmouth professor with 16 years teaching experience
Hi Beebah,
Perhaps a picture will help?
(basket)



 10 ft

________________________________(freethrow line)
13 ft
If you draw a straight line from the basket to the freethrow line, then you have a triangle, and the problem is asking you to calculate the length of the hypotenuse of the triangle. You can do this calculation with the Pythagorean Theorem:
https://mathworld.wolfram.com/PythagoreanTheorem.html
Hope this helps!
Brenden
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