Joe has a small pond on his farm.He wants to build a footbridge from point A to point B.He marked a spot at point C so that angle B is a right angle.
What is the approximate distance from point A to point B?
A.23 ft
B.24ft
C.25ft
D.26ft
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OpenStudy (oaktree):
It must be 24ft, because to be integer values it must be a 7-234-25 triangle.
OpenStudy (oaktree):
Not 234, 24.
OpenStudy (oaktree):
Which means that because the hypotenuse must be 25, the AB side must be 24.
OpenStudy (oaktree):
That help any?
OpenStudy (anonymous):
yup thx very much
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OpenStudy (oaktree):
You know the families of right triangles, right?
OpenStudy (anonymous):
yea
OpenStudy (oaktree):
O.K. then. Just for anyone out there that doesn't know them, they're triplets of numbers that work for the Pythagorean triples.
OpenStudy (anonymous):
ok thc
OpenStudy (oaktree):
Some of them are 3-4-5, 7-24-25, and 8-15-17.
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OpenStudy (oaktree):
The biggest number is always the hypotenuse.
OpenStudy (oaktree):
Meaning the side opposite the right angle.
OpenStudy (oaktree):
Just a shortcut for using the Pythagorean Theorem.
OpenStudy (oaktree):
Which is a^2+b^2=c^2, where a and b are legs and c is the hypotenuse (duh!)