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Posted by **Nashea** on Friday, October 2, 2009 at 10:50am.

2. 980 cm = 9.8 m?

3. choose a reasbonsible weight for a cow? 500kg?

4. are these numbers perfect triples 8.10.12? no?

5. square root of 49? =7?

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**challie**, Friday, October 2, 2009 at 10:56am1, 2, 3,and 5 are right i think but i dont know about 4.

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**Reiny**, Friday, October 2, 2009 at 11:02am#4 is also correct since

8^2 + 10^2 is not equal to 12^2

I would prefer that you call them Pythagorean triples.

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**drwls**, Friday, October 2, 2009 at 11:02am1. yes

2. yes

3. 500 kg is OK. Jersey cows weigh less; black angus weigh more.

4. correct. A correct "perfect triple" would be 6,8,10. a^2 + b^2 = c^2 must be obeyed.

5. yes

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**MathMate**, Friday, October 2, 2009 at 11:08am#1. 3 gal and 2 qt subtracted from 8 gal and 7 qt= 6 gal and 1 qt?

There is a problem with the question, 1 gallon equals 4 qts, so 8 gal and 7 qts is not normal. Was there a typo? Was it 8 gal and 7 pts? (1 gal = 8 pts)

8 gal- 7 qts - 3 gal 2qts

= 9 gal 3 qts - 3 gal 2qts

= 6 gal 1 qt.

8 gal - 7 pts - 3 gal 2 qts

=8 gal - 7 pts - 3 gal 4 pts

= 5 gal 3 pts.

#2,3 and 5 are correct.

For #4 it is not clear to me what a perfect triple is supposed to mean.

If you have done Pythagoras theorem, it could be asking if the three numbers form the sides of a Pythagorean triangle (answer=no).

It could also mean if the numbers can represent the sides of a triangle, which requires that 8+10>12, 8+12>10 and 10+12>8. The answer is yes in this case.

Then again, it could be asking if the average (mean) of the three numbers equals the middle number. The answer is yes here.

We can go on and on. Perhaps you can tell us what your teacher means by a perfect triple.

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**Nashea**, Friday, October 2, 2009 at 11:24amin the eample they use 3,4, and 5

so 3 to the power of 2=9

4 to the power of 2 =16

5 to the power of 2=25

9+16=25

a perfect triple

this was also there

All the triples that you have seen, and many more, were known by the Babylonians

more than 4,000 years ago. Stone tablets that had dozens of perfect triples carved into them

have been found. The basis of the Pythagorean theorem was understood long before the

time of Pythagoras (ca. 540 B.C.). The Babylonians not only understood perfect triples but

also knew how triples related to a right triangle.

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**MathMate**, Friday, October 2, 2009 at 11:34amSo this confirms that question 1 refers to Pythagorean triples. As everybody has suggested, the answer is no because

8²+10²=164

12²=144

So the triple is not a Pythagorean triple.

I cannot agree more with Reiny:

"I would prefer that you call them Pythagorean triples. "

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**rocio**, Sunday, February 7, 2010 at 10:44pmround 44-21