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Is 9 14 17.1 a Pythagorean triple?
No
How do you use the Pythagorean theorem without a graph?
If you drive 9 miles north from your house, then turn and drive 12 miles east, you can use the Pythagorean theorem to calculate that you wind up 15 miles from home. You don't need a graph at all to do that. You just have to know the Pythagorean theorem.
What numbers form a pythagorean Triples?
3 4 5 6 8 10 9 40 41 20 21 29 9 12 15 ...and factors of those such as the first 2 examples.
What is halfway between -9 and 15?
3 It is 12 more than -9 and 12 less than 15 9 + 15 = 24 24/2 = 12 -9 + 12 = 3 15 - 12 = 3
What is the length of the hypotenuse of a right angled triangle where one side equals 4m and the other equals 3m?
5 m. Using Pythagoras: Hypotenuse2 = side2 + other_side2 ⇒ Hypotenuse = √(side2 + other_side2) = √((3 m)2 + (4 m)2) = √(9 m2 + 16 m2) = √(25 m2) = 5 m 3, 4, 5 is a well known Pythagorean triple - the three sides of a right angle triangle (32 + 42 = 9 + 16 = 25 = 52) Another is: 5, 12, 13 (52 + 122 = 25 + 144 = 169 = 132) If you multiply each of these sides by the same number (that is scale the triangle) you get other Pythagorean triples, eg 3, 4, 5 → (x2) 6, 8, 10; (x3) 9, 12, 15; (x4) 12, 16, 20; etc are all Pythagorean triples 5, 12, 13 → (x2) 10, 24, 26; (x3) 15, 26, 39; (x4) 20, 48, 52; etc are also all Pythagorean triples.
Which number completes the Pythagorean Triple of 9 12 x?
15, since 15*2 = 9*2 + 12*2
Is 9 12 and 15 a pythagorean triplet?
Yes.
Are the numbers 9 12 15 pythagorean triples?
Yes
Is 9 14 17.1 a Pythagorean triple?
No
How can you tell if three positive numbers form a Pythagorean triple?
The Pythagorean thereom is a^2+b^2=c^2. So, you can tell if they are a Pythagorean triple by seeing if the two smaller numbers squared equal the largest number squared. Example. Are 3,4, and 5 a Pythagorean triple? 3^2= 9. 4^2= 16. 5^2= 25. 9+16=25, so they are a triple.
Do the side lengths 9 15 and 12 form a right triangle?
Yes they do. We find this by applying the pythagorean theorum. Since 9^2 + 12^2 = 15^2, they form a right triangle.
One side of a rectangular stage is 3 feet longer than the other if the diagonal is 15 feet then what are the lengths of the both sides sides?
3-4-5 is the simplest Pythagorean Triple. Multiply by 3 and you get 9-12-15 which describes your stage exactly.
How do you use the Pythagorean theorem without a graph?
If you drive 9 miles north from your house, then turn and drive 12 miles east, you can use the Pythagorean theorem to calculate that you wind up 15 miles from home. You don't need a graph at all to do that. You just have to know the Pythagorean theorem.
Do these three sides make a sides make a right triangle 6 10 and 8?
Indeed they do, it is a Pythagorean Triple: 6*6 + 8*8 = 10*10. (62 + 82 = 102, 36 + 68 = 100, 100 = 100) The "basic" Pythagorean Triple of a 3, 4, 5 triangle works out like this: 32 + 42 = 52 9 + 16 = 25 25 = 25 Your triangle, the 6, 8, 10, figure, is a "doubling" of the cited "basic" triple, and any multiple of a Pythagorean Triple will also be another Pythagorean Triple, and a right triangle.
What is the straight line distance between 9 miles west and 12 miles south?
The straight line distance between 9 miles west and 12 miles south is the hypotenuse of a right triangle with sides 9 and 12. Using the Pythagorean theorem, the distance would be √(9^2 + 12^2) = √(81 + 144) = √225 = 15 miles.
Is there a pythagorean triad that cannot be generated using Euclid's formula?
Yes; for example (9, 12, 15) can not be found. However, all primitive triples are found.
What is the pythagorean triple?
A Pythagorean triple is a group of three whole number which can be the sides of a right angled triangle, eg: (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41), (11, 60, 61), (12, 35, 37), (13, 84, 85), (16, 63, 65), (20, 21, 29), (28, 45, 53), (33, 56, 65), (36, 77, 85), (39, 80, 89), (48, 55, 73), (65, 72, 97)
