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How are the Pythagorean Theorem and distance formula related to each other?
Wiki User
∙ 8y ago
Because a right angle triangle can be formed by the given coordinates and the length of the line is the hypotenuse of the triangle and so by using Pythagoras' theorem its length or distance can be found.
Distance formula: square root of [(x1-x2)^2 plus (y1-y2)^2)]
Wiki User
∙ 8y ago
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How is geometry used in horse riding?
Horse riding and geometry are most commonly related using Pythagorean Theorem. Which can help calculate the best take off point for show jumping
How is the formula for the parallelogram related to the area formula of the rectangle?
The area formula for the parallelogram is related to the area formula for a rectangle because you can make the parallelogram into a rectangle to find the area.
How are the side lengths of a 30º60º90º triangle related?
It is a right angle triangle and the sum of its squared sides is equal to its squared hypotenuse in accordance with Pythagoras' theorem
What is the formula for the radius of a circle?
Divide the diameter by 2 to get the radius. See related questions below.
What is the distance around a polygon?
A polygon is a closed shape bounded by only straight lines. The distance around a polygon is called the Perimeter The actual distance of the polygon depends on the shape. See related links below for a website I believe will help you.
What is better the pythagorean therom or the disance formula?
Better for what??? Actually, both are closely related. The distance formula is derived from the Pythagorean theorem.
How is math related in arts?
think of the Pythagorean theorem. it is pure masterpiece.
Why was Pythagoras credited for pythagorean theorem?
Hmmm... because HE created it ! Pythagorean theorem is named after the mathematician Pythagoras ! See related link for the Wikipedia article on the gentleman concerned !
Where was the Pythagorean Theorem discovered?
It is not known for sure where exactly Pythagorean Theorem was discovered. But Pythagoras a Greek Mathematicians has discovered this. So I would assume in Ancient Greece. I found this related website which explains and also has a calculator.See below for the related link
How is the pythagorean theorem used in modern day times?
The Pythagorean theorem is used for many things today. For example, it can be used for building. Putting in flooring deals with squares and triangles using the Pythagorean Theorem. Some builders use this formula, because they can find the missing sides. The Pythagorean theorem plays an important role in mathematics, too. For example: -It is the basis of trigonometry -using the theorems arithmetic form, it connects algebra and geometry. -It is linked to fractal geometry His theorem is not only important in 2-D geometry, but also in 3-D geometry. Video games environments are drawn in 3-D using all triangles. i got this information from a website called: [See below for the related link to this website]. This website tells you all about how the Pythagorean theorem is used in modern day.
Why is the rule of pythagorean triad so famous?
The Pythagorean Theorem is famous because it has made almost all upper level math possible, opening up new fields in science. Sine Cosine and Tangent are based on this theorem, and, thereby, all parts of mathematics related directly or indirectly to trigonometry.
How is the distance formula related to the pythagorean theorem?
Take any two points in the plane. Let' s call them P1 and P2 and they have coordinates (x1,y1) and (x2, y2) respectively. Now if we want to find the distance between them, we use the distance formula. But what this formula is really doing is using the pythagorean theorem. Here is why. You want to find the distance from P1 to P2. Construct a line from x1 to x2 and y1 to y2. The straight line between P1 and P2 is the hypotenuse of the right triangle you just created. Now, Pythagoras says, that the hypotenuse squared is equal to the sum of the squares of the side. But we need the the length of those sides. The horizontal one is (x2-x1) and the vertical one is (y2-y1). So if we look at (x2-x1)2+(y2-y1)2 this is equal to hypotenuse of the triangle squared. But the hypotenuse is the distance from P1 to P2. So if we take the square root of that hypotenuse, we must also take square root (x2-x1)2+(y2-y1)2 AND this is exactly what the distance formula shows. It would help to draw a picture to see this.
What is the proof of the Pythagorean Theorem?
Well, there are many, many proofs of the Pythagorean Theorem. Some sources have as many as 93 proofs. Here is my favorite, but others are listed in the math website in Related Links (below).This is an excerpt from a letter by Dr. Scott Brodie from the Mount Sinai School of Medicine, NY, taken from the first website, proof # 21.The first proof I merely pass on from the excellent discussion in the Project Mathematics series, based on Ptolemy's theorem on quadrilaterals inscribed in a circle: for such quadrilaterals, the sum of the products of the lengths of the opposite sides, taken in pairs equals the product of the lengths of the two diagonals. For the case of a rectangle, this reduces immediately to a² + b² = c².Related LinksA website with 93 proofs of the Pythagorean Theorem. http://www.cut-the-knot.org/pythagoras/index.shtmlAn award-winning applet that demonstrates one of the most famous proofs of the Pythagorean Theorem. http://www.cut-the-knot.org/pythagoras/morey.shtml
How is geometry used in horse riding?
Horse riding and geometry are most commonly related using Pythagorean Theorem. Which can help calculate the best take off point for show jumping
What is the square root of pi when it is indirectly related to the negative coefficient of sin of cosine unless the Pythagorean theorem is used and divided by 2?
As certain as I am that this post is the work of a vandal, I'll try to play it straight nonetheless: -- (pi) is a number. Its square root is 1.77245 (rounded). Neither of these facts depends on anything else. -- The phrase "... negative coefficient of sin of cosine ..." is meaningless double-talk. -- The Pythagorean theorem has nothing to do with (pi). -- There is no such operation as dividing a theorem by 2 .
How are the distance formula and pythagorean theorem related?
The distance formula IS the Pythagorean theorem, applied to a right triangle with the x-coordinate and y-coordinate as the two shorter sides. Or the equivalent in 3, 4, or more dimensions in flat (i.e., Euclidian) space.
How do you find a side of a triangle?
If it's a right triangle, use pythagorean's theorem (a2+b2=c2) to solve it. = If it's an oblique triangle, use the law of sines or cosines (see related link)
