The Pythagorean theorem, which is the square root of the sum of the squares of two sides of a right triangle is equal to the hypotenuse, can be used to find the distance between two points. This means that it can also be used to find the equation of a line.
The Pythagorean Theorem, states, that 'for any right angled triangle the hypotenuse squared is equal to the squares of the other two sides'. Algebraically expressed as h^2 = S^2 + s^2 Where 'H' is the hypotenuse, and 'S' and 's' are the other two sides. The classic example is the 3,4,5 triangle. 5^2 = 4^2 + 3^2 25 = 16 + 9 25 = 25
The quadratic formula is derived by completing the square. That is as much as I can tell you.
The quadratic formula can be derived by used a method called completing the square. It's like using algebra to solve for x. The process is explained the related link "Derivation of Quadratic Formula".
e is derived in several different ways.One way is the infinite sum:e = 1 + 1/1! + 1/2! + 1/3! + ...Another is to note that the function 2^x has a gradient of approx 0.6931*2^x while 3^x has a gradient of 1.0986*3^x. Therefore by continuity (and the intermediate value theorem), there must be a value between 2 and 3 such that the gradient of the curve has the same value as the curve. This value is e.
Yes, the distance formula for a line segment was derived from Pythagoras' theorem.
Yes, the distance formula for a line segment was derived from Pythagoras' theorem.
Yes, the formula for the Euclidean distance. But not necessarily other distance metrics.
True
Better for what??? Actually, both are closely related. The distance formula is derived from the Pythagorean theorem.
the answer is false
Pythagoras
The Pythagorean theorem, which is the square root of the sum of the squares of two sides of a right triangle is equal to the hypotenuse, can be used to find the distance between two points. This means that it can also be used to find the equation of a line.
Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.
It was derived to mathematicians of the time and ever since.
by the greek mathematician and philosopher 'Pythagoras'.
Heron's formula can be derived by dividing a triangle into two right triangles and applying the Pythagorean theorem to each. This allows for the expression of the area of a triangle in terms of its side lengths, which eventually leads to Heron's formula.