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true. for apex smh

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Q: Is The Distance Formula is derived from the Pythagorean Theorem?

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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.

If you know any two sides of a triangle (and know that one of the angles is a right angle), you can calculate the third side. Also, if you know the third side of a triangle, you can check whether the angle opposite the hypothenuse is a right angle or not.

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.

Related questions

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.

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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'.

The Pythagorean Theorem derived its named from Pythagoras, the Greek mathematician who is credited for the formula. However, a recent study showed that ancient cultures have already proved the formula long before any of the Greeks did.