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6, 8, and 10 is simply a scaled up version of a 3,4,5 triangle (simply double each side). Since 3,4,5 is a Pythagorean triple, so is the scaled up triangle. Alternatively, since 6, 8, and 10 are integers (whole numbers) that fulfill the Pythagorean theorem (62 + 82 = 102 ), they are a Pythagorean triple.
Yes. If you square each of his legs and add them, the sum is equal to the square of his hypotenuse.
It does not.If you consider a right angled triangle with minor sides of length 1 unit each, then the Pythagorean theorem shows the third side (the hypotenuse) is sqrt(2) units in length. So the theorem proves that a side of such a length does exist. However, it does not prove that the answer is irrational. The same applies for some other irrational numbers.
It's to do with The Greek mathematician called Pythagoras. He was into trangles, particulary right angles ones, where he came up with a theory that relates the lengths of each side in a right angle triangle.
A right triangle can have at most 2 congruent sides, but may have no congruent sides. From the Pythagorean Theorem, the square of the hypotenuse will be equal to the sum of the squares of the other two sides - consequently the "other two sides must each be less than the length of the hypotenuse and thus not congruent with it. They can be congruent with each other however - which is what occurs in a 45°/45°/90° triangle (for any other right triangle, none of the sides will be congruent).
6, 8, and 10 is simply a scaled up version of a 3,4,5 triangle (simply double each side). Since 3,4,5 is a Pythagorean triple, so is the scaled up triangle. Alternatively, since 6, 8, and 10 are integers (whole numbers) that fulfill the Pythagorean theorem (62 + 82 = 102 ), they are a Pythagorean triple.
Yes. If you square each of his legs and add them, the sum is equal to the square of his hypotenuse.
To place four points equidistant from each other, you would need to arrange them in the shape of a perfect square. This means that each point would be the same distance away from the other three points, forming equal sides of the square. The distance between each point can be calculated using the Pythagorean theorem if the coordinates of the points are known.
It does not.If you consider a right angled triangle with minor sides of length 1 unit each, then the Pythagorean theorem shows the third side (the hypotenuse) is sqrt(2) units in length. So the theorem proves that a side of such a length does exist. However, it does not prove that the answer is irrational. The same applies for some other irrational numbers.
It's to do with The Greek mathematician called Pythagoras. He was into trangles, particulary right angles ones, where he came up with a theory that relates the lengths of each side in a right angle triangle.
You don't. You could measure each side and calculate the area of each face. Using Pythagoras's theorem only makes it simpler!
a2b2 Whenever two or more terms (such as a2) are next to each other, multiplication is implied. The Pythagorean Theorem (the theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides) states that a2 times b2 equals c2.
Because in a right angle triangle the square of its hypotenuse is always equal to the sum of each side squared.
A right triangle can have at most 2 congruent sides, but may have no congruent sides. From the Pythagorean Theorem, the square of the hypotenuse will be equal to the sum of the squares of the other two sides - consequently the "other two sides must each be less than the length of the hypotenuse and thus not congruent with it. They can be congruent with each other however - which is what occurs in a 45°/45°/90° triangle (for any other right triangle, none of the sides will be congruent).
Usually the letters a, b, and c are used; in this case, a and b are adjacent to the right angle, and c is opposite to the right angle.
You must find the x and y components of each vector. Then you add up the like x components and the like y components. Using your total x component and total y component you may then apply the pythagorean theorem.
The Pythagorean theorem, which states that the sum of the squares of each leg of a right triangle equals the square of the hypotenuse of the same triangle. (a^2) + (b^2) = (c^2).