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Are 9 12 15 pythagorean triples?
No, the numbers 9, 12, and 15 do not form a Pythagorean triple. A Pythagorean triple consists of three positive integers (a), (b), and (c) such that (a^2 + b^2 = c^2). In this case, if we take 15 as the largest number, (9^2 + 12^2 = 81 + 144 = 225), which equals (15^2). Therefore, 9, 12, and 15 do indeed form a Pythagorean triple.
Is 9 40 41 a pythagorean triple?
No, the numbers 9, 40, and 41 do not form a Pythagorean triple. To be a Pythagorean triple, the equation (a^2 + b^2 = c^2) must hold true, where (c) is the largest number. In this case, (9^2 + 40^2 = 81 + 1600 = 1681), and (41^2 = 1681), so (9^2 + 40^2 = 41^2). Therefore, 9, 40, and 41 do form a Pythagorean triple.
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.
Is 9 15 12 a pythagorean triple?
To determine if 9, 15, and 12 form a Pythagorean triple, we check if the square of the largest number equals the sum of the squares of the other two. Here, 15 is the largest number. Calculating, we have (15^2 = 225) and (9^2 + 12^2 = 81 + 144 = 225). Since both sides are equal, 9, 15, and 12 do form a Pythagorean triple.
Why are 3 and 4 and 5 and 5 and 12 and 13 are called Pythagorean triples?
The pairs 3 and 4, 5 and 5, and 12 and 13 are called Pythagorean triples because they satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. For example, for the triple (3, 4, 5), (3^2 + 4^2 = 9 + 16 = 25), which equals (5^2). Similarly, the other pairs can be verified, confirming they also meet this condition.
Are 9 12 15 pythagorean triples?
No, the numbers 9, 12, and 15 do not form a Pythagorean triple. A Pythagorean triple consists of three positive integers (a), (b), and (c) such that (a^2 + b^2 = c^2). In this case, if we take 15 as the largest number, (9^2 + 12^2 = 81 + 144 = 225), which equals (15^2). Therefore, 9, 12, and 15 do indeed form a Pythagorean triple.
Are the numbers 9 12 15 pythagorean triples?
Yes
Is 9 40 41 a pythagorean triple?
No, the numbers 9, 40, and 41 do not form a Pythagorean triple. To be a Pythagorean triple, the equation (a^2 + b^2 = c^2) must hold true, where (c) is the largest number. In this case, (9^2 + 40^2 = 81 + 1600 = 1681), and (41^2 = 1681), so (9^2 + 40^2 = 41^2). Therefore, 9, 40, and 41 do form a Pythagorean triple.
What is the length of side c in right triangle if side a is 4cm and side b is 3cm?
From the Pythagorean Theorem: c^2 = a^2 + b^2. So,c = √(a^2 + b^2) substitute the given values:c = √(4^2 + 3^2)c = √(16 + 9)c = √25c = 5 (since the length is always positive)One of the Pythagorean triples is 3,4,5. So, if you know all the Pythagorean triples, you don't need to do the computations above.The Pythagorean triple: A set of three positive integers a, b, and c such that a^2 + b^2 = c^2. Pythagorean triples that have greatest common divisor equal to 1 include the following: {3, 4, 5}, {5,12, 13}, {8, 15, 17}, {7, 24, 25}, and {20, 21, 29}.
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.
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.
What are the pythagorean triples that countain whole numbers?
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.
Which number completes the Pythagorean Triple of 9 12 x?
15, since 15*2 = 9*2 + 12*2
Is 9 15 12 a pythagorean triple?
To determine if 9, 15, and 12 form a Pythagorean triple, we check if the square of the largest number equals the sum of the squares of the other two. Here, 15 is the largest number. Calculating, we have (15^2 = 225) and (9^2 + 12^2 = 81 + 144 = 225). Since both sides are equal, 9, 15, and 12 do form a Pythagorean triple.
Why are 3 and 4 and 5 and 5 and 12 and 13 are called Pythagorean triples?
The pairs 3 and 4, 5 and 5, and 12 and 13 are called Pythagorean triples because they satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. For example, for the triple (3, 4, 5), (3^2 + 4^2 = 9 + 16 = 25), which equals (5^2). Similarly, the other pairs can be verified, confirming they also meet this condition.
How do you use the pythagorean theorem to find the length of a diagonal of a square with the side lengths of s?
diagonal="c" side=9="9"="9" sincec^2=b^2+a^2, diagonal=square root of(2(9^2))=
What is 9 plus 9 plus 2 plus 2?
2 + 2 + 9 = 13
