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The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. Mathematically, it is expressed as (a^2 + b^2 = c^2), where (c) represents the hypotenuse and (a) and (b) are the other two sides. This theorem is fundamental in geometry and has applications in various fields, including physics, engineering, and computer science.

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What are a carpet's dimensions if one side of the carpet is seven meters shorter than the length and the diagonal is one meter longer than the length?

12 meters long, 5 meters wide. Diagonal = 13 meters. Solve and prove with Pythagorean therum : 12 squared (144) + 5 squared (25) = 13 squared (169).


What does pythagorean therum and medaphysics have to do with each other?

The Pythagorean theorem, a fundamental principle in geometry, describes the relationship between the sides of a right triangle, emphasizing mathematical certainty and structure. Metaphysics, on the other hand, explores the nature of reality, existence, and fundamental principles beyond the physical realm. While they belong to different domains, both seek to understand the underlying truths of their respective fields—mathematics through quantifiable relationships and metaphysics through abstract concepts. This intersection highlights how mathematical principles can inform philosophical inquiries about the nature of reality.


What is the method used to solve a resultant vector?

If you mean "What method is used to make a resultant vector into its components?" then the answer is called "resolution" and you can google it for details. If you mean "What method is used to detirmine a resultant vector?" well that one doesn't have a name as far as I know. Basically, you set up a visual representation of the forces and use trigonometry to find the length and direction of the resultant. Now, to find the resultant, you would draw a diagonal line. You can then make a triangle where one side has a length of 6 and the other 8. Because these two sides are at a 90 degree angle, you can use the pythagorean therum (a^2 + b^2 = c^2) to find the diagonal line which is the resultant vector. Hope this helps :) -Angelic Endeavor Minor Edit By Me: I had trouble formatting the pictures, I hope it works this time. Edit 2 By Me: I can't get the visual aid to work so you'll have to use your imagination, sorry. :(


Related Questions

Why all the sugars present in the body are in d form?

it's all part of the pathagereum therum


What is the pythagorean therum?

The square of the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides. This is one answer. the formula for the pythagorean therum is A2+ B2=C2. Say you have the length "a" at 6 inches and "b" at 8 inches. Your equation is 62+82=C2 or 36+64=100. Now you have to find the quare root of 100 or "c" because up above you had c2. that is different from a2+b2=c. The square root of 100 is 10. The length of your hypotenuse is 10.


What is an air balloon multiplied by sixty plus bamboo?

Well... you could divide the radius squared by the length of the bamboo, then sixty minus fourteen bacause of the Plethorus Therum, then multiply everything by two, make it a square and convert it into decimals. The answer is then three.


What are chronological development of solutions in quadratic polynomial?

well if you take into consideration the depth of the sqaure route then multiply by te pythagros therum of a qaudratic polynominal soultion, the answere should be divided my 0.325 and then click the big x in the top right hand corner. YES.


How do solve a pythagorean therum problem?

you take the 2 legs of a triangle a=leg one b=leg two c=hypotenuse a2+b2=c2 <----- this is the formula you use exponents and square a and b then you add them and then you have c but then you need to square root it and you have the length of the hypotenuse -your welcome


What are a carpet's dimensions if one side of the carpet is seven meters shorter than the length and the diagonal is one meter longer than the length?

12 meters long, 5 meters wide. Diagonal = 13 meters. Solve and prove with Pythagorean therum : 12 squared (144) + 5 squared (25) = 13 squared (169).


What is the area of a parallelogram with a circle inside the base of the parallelogram is 9 and the diameter of the circle is 6?

Since the area of the circle would be multiplied due to the circumference of the pathogenic therum,so you would multiply 54x2=108.Then multiply that by 54,which is the absolute value of the area of the parallelogram,so 54x108,is 5832,which you'd find the square root of,76.4. :)


How do you find the 3rd side of the triangle if two sides are already given?

using the pythagoren therum, a squared +b squared=c squared, if you are finding the hypotenuse square the other to sides and divide the answer to get the length of the hypotenuse otherwise square the hypotenuse and the known side and subtract the known side squared from the hypotenuse squared to find the lenght of the unknown side squared


What does pythagorean therum and medaphysics have to do with each other?

The Pythagorean theorem, a fundamental principle in geometry, describes the relationship between the sides of a right triangle, emphasizing mathematical certainty and structure. Metaphysics, on the other hand, explores the nature of reality, existence, and fundamental principles beyond the physical realm. While they belong to different domains, both seek to understand the underlying truths of their respective fields—mathematics through quantifiable relationships and metaphysics through abstract concepts. This intersection highlights how mathematical principles can inform philosophical inquiries about the nature of reality.


What is the equation for Pythagoras therum?

Pythagorean Eq'n Hypotenuse^(2) = side(1)^(2) + side(2)^(2) This can be reduced to h^(2) = a^(2) + b^(2) In words ; for any right angled triangle the hypotenuse squared is equal to the sum of the squares of other two sides. NB ; The hypotenuse is the longest side and opposite to the right angle. The other two sides are shorter than the hypotenuse and form the right angle.


What is the method used to solve a resultant vector?

If you mean "What method is used to make a resultant vector into its components?" then the answer is called "resolution" and you can google it for details. If you mean "What method is used to detirmine a resultant vector?" well that one doesn't have a name as far as I know. Basically, you set up a visual representation of the forces and use trigonometry to find the length and direction of the resultant. Now, to find the resultant, you would draw a diagonal line. You can then make a triangle where one side has a length of 6 and the other 8. Because these two sides are at a 90 degree angle, you can use the pythagorean therum (a^2 + b^2 = c^2) to find the diagonal line which is the resultant vector. Hope this helps :) -Angelic Endeavor Minor Edit By Me: I had trouble formatting the pictures, I hope it works this time. Edit 2 By Me: I can't get the visual aid to work so you'll have to use your imagination, sorry. :(


What can sound energy get transferred to?

Sound waves are alternate compressions and rarefactions of gas molecules. They are created by movement of the gas against a vibrating object or the creation of eddies in the air as it passes over a sharp edge. When the waves strike an object they push and pull on the object transferring energy to it. In your ear this movement is translated as sound by the ear drum and the movement in the hairs in the cochlea. This is noticeable when you stand near a powerful bass amp or the big pipes on an organ and feel your chest vibrating with the sound waves. Energy is being transferred to you and physically shaking you.