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Q: Is The Distance Formula is derived from the Pythagorean Theorem?
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Which formula can be derived by using the Pythagorean theorem in the coordinate plane?

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.


Which is the result derived from the pythagorean theorem?

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


What is the origin of the quadratic formula?

The quadratic formula is derived by completing the square. That is as much as I can tell you.


How was the quadratic formula developed?

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".


How e derived?

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.

Related questions

Is the distance formula derived from Pythagorean theorem?

Yes, the distance formula for a line segment was derived from Pythagoras' theorem.


Is Pythagorean theorem is derived from the distance formula?

Yes, the distance formula for a line segment was derived from Pythagoras' theorem.


Can the distance formula can be derived from the Pythagorean theorem?

Yes, the formula for the Euclidean distance. But not necessarily other distance metrics.


The distance formula is derived from the Pythagorean theorem. true or false?

True


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.


Is The pythagorean theroem derived from the distance formula?

the answer is false


Who derived the pythagorean theorem?

Pythagoras


Which formula can be derived by using the Pythagorean theorem in the coordinate plane?

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.


How do you find the distance between two points on a coordinate plane?

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.


Whom was the pythagorean theorem derived to?

It was derived to mathematicians of the time and ever since.


By whom was the pythagorean theorem derived?

by the greek mathematician and philosopher 'Pythagoras'.


How do you derived the herons law?

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.