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ticka06

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Joined
Jan 29, 2010
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6
My question is which of the following triples of numbers can be the sides of a right triangle? Explain why?
A 0.3,0.4,0.5
B. 10,24,26
C 2,3,4
there is another one but i am not sure how to do it on here for the signs before them.
 
you know that the set can be the sides of a right triangle, if the two shorter sides squared will equal the longer side, or hypotenuse, squared. This is the pythagorean theorem, a^2+b^2=c^2.

For example, A is .3, .4, and .5. Now, as .4 squared plus .3 squared = .5 squared, meaning that these could be the dimensions of a right triangle.

Now, C, the set 2,3,4, when the two legs are squared and added together will yield 13. since 4 is not the square root of 13, this cannot be the dimensions of a right triangle.

See if you can figure out the last one.
 
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