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When drawing a vector using the triangle method of addition how do you draw in the resultant vector?
When drawing a vector using the triangle method you will draw in the resultant vector using Pythagorean theorem. This is taught in physics.
What needs to happen before you can use the reason CPCTC in a geometric proof?
Before using Corresponding Parts of a Congruent Triangle are Congruent theorem (CPCTC) in a geometric proof, you must first prove that there is a congruent triangles. This method can be used for proving polygons and geometrical triangles.
A right triangle has sides whose lengths are consecutive integers Find the lengths of the sides?
The clue in the question here is that you are dealing with a right triangle. If a triangle has a right angle then Pythagoras' theorem can be used to describe the relationship between the lengths of the three sides. Pythagoras' theorem is: a2 + b2 = c2 a and b are used to represent the lengths of the two shorter sides and c the length of the longest side (this side is called the hypotenuse and it will be the one opposite the right angle). If the sides are three consecutive integers they can be described as n, n+1 and n+2. n+2 must be the hypotenuse as this will be the biggest value (the longest side, or c). If we substitute these in to Pythagoras' theorem we get: n2 + (n+1)2 = (n+2)2 This is an equation with one variable (one letter which we do not know). When there is only one thing we do not know in the equation we can solve it by rearranging. So, we can find n, which will be the length of the shortest side, using the method below. n2 + n2 + 2n +1 = n2 + 4n + 4 (by expanding the squared brackets) 2n2 + 2n +1 = n2 + 4n + 4 (by simplifying) n2 - 2n - 3 = 0 (by doing the same to both sides) (n - 3)(n + 1) = 0 (by factorising, you can check this by multiplying the brackets back out) Two things multiplied together will only give you zero if one of them is zero. n - 3 = 0 and n + 1 = 0 will both give solutions which work. n = 3 or n = -1 (by same on both sides) However, n is the length of the shortest side so cannot be negative. n = 3 n +1 = 4 n + 2 = 5 So, the lengths of the three sides must be 3, 4 and 5 . This is a special set of numbers called a Pythagorean triple. They are called this because they fit Pythagoras' theorem and they are all integers. It is a good idea to know some of these for GCSE Mathematics exams. They quite often appear on the non-calculator paper. if you had known this triple already you would not need all the algebra! Another common Pythagorean triple is 8, 15, 17. You may be able to find some others.
What 8 by 8 in diagonal inches?
Pythagoras developed the method to solve this- A squared plus B squared equals C squared. A squared= 8x8, added to B squared (also 8x8) So that is 64+64 or 128. So 128 is line C squared. Find the square root of 128, and you have C, which is the diagonal. (Hint- it is 11.31)
What are the advantage and disadvantage of builder's square method?
There are both advantages and disadvantages to using the builder's square method. One advantage is that it is a relatively simple method to use and can be easily learned by most people. Another advantage is that it is a versatile method that can be used for a variety of projects, including construction, remodeling, and repairs. However, there are also some disadvantages to using the builder's square method. One of these is that it is not always accurate, and this can lead to errors in your project. Additionally, it can be time-consuming to use this method, especially if you are working on a large project.
Why is Pythagoras theorem only a theory that can not be proven?
It can be proven to an extent but if the sides of a right angle triangle are equal in length then using Pythagoras' theorem is impossible to exactly find the length of its hypotenuse which will always be an irrational number that can't be determined.It is a theorem, not a theory. They are not the same. A theorem is shown to be true based on axioms, what is already known to be true. It does not need to be proven using a scientific method.
What is the Pythagoras method?
The Pythagoras method or theorem is a statement that concludes the area of two small squares is equal to the area of one large one. The algebraic formula is a² + b²=c². C is the hypotenuse or base while a and b are the two lengths of the triangle. In geometry, it is the basis for the definition of the distance between two points.
How do you verify that a given sequence is an AP by paper cutting and pasting method?
To verify that a given sequence is an arithmetic progression (AP) using the paper cutting and pasting method, arrange the numbers in a line in increasing order. Cut the numbers along the baseline and shift them so their ends align in a straight line. If the gaps between the aligned numbers are consistent throughout the sequence, then it is an AP. If the gaps vary, then the sequence is not an AP.
What is the answer of verifying the sum of the angles of quadrilaterals is 360 degree by cutting and pasting method?
Tear of each 4 corners of the quadrilateral and by joining them together they will form a complete tessellation of 360 degrees with no gaps or overlaps.
What are the remarks of Pythagoras?
Pythagoras became immortalised simply by finding a method for calculating the length of hypotenuse
When copying or moving text a short distance you can use a QUICK method called?
When copying or moving text a short distance you can use a quick method called "cut and paste" or "copy and paste." This involves selecting the text, cutting or copying it, then pasting it in the desired location.
Who discovered a way to solve for the longest side in a right triangle?
The usual answer is Pythagoras, but that is not completely correct. Clay tablets from China show that the Pythagorean Theorem was taught there 950 years before Pythagoras was born! The method was also known in the Americas, Egypt, east Africa, India, and elsewhere long before being 'discovered' by the Greek mathematician.
What was Pythagoras' most famous contribution?
Since the fourth century AD, Pythagoras has commonly been given credit for discovering the Pythagorean theorem, a theorem in geometry that states that in a right-angled triangle the area of the square on the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares of the other two sides.He made up the formula to find A, B, or C in a triangle.Pythagoras Method =A squared + B squared = C squareda^2 + b^2 = c^2orA*A + B*B = C*C
How do you solve of the vectors by graphical method?
Pythagorean theorem: A2 + B2 = C2
How is Pythagoras and what did he do?
Pythagoras, a greek mathematician living about 2600 years ago, became immortalised simply by finding a method for calculating the length of the hypotenuse without having to draw it out
What are the proofs for the Pythagoras theorem?
To the limit of our ability to measure with accuracy, no right triangle has ever been measured that doesn't fit the theorem. When one is found, we'll know that the theorem is false.This is exactly the method of science: A theory matches what we see and makes predictions that check out. When something comes along that doesn't match, we either modify the theory or completely throw it out. A theory can never be proven, but is always vulnerable to be disproven, no matter how long it has been used. All you have to do is find the example where it doesn't work, and you'll be famous.
Who is the genius in mathematics that sought a way to explain problems in both science and philosophy in terms of a mathematical method?
Pythagoras was an Ionian Greek philosopher, mathematician, and scientist. He is best known for the mathematical Pythagorean theorem. It is said that he was the first man to call himself a philosopher, and he greatly influenced Plato (and therefore Western philosophy).
