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. The distance formula, which is derived from the Pythagorean theorem, calculates the distance between two points in a plane. When finding the distance between a point ((x, y)) and the origin ((0, 0)), the formula simplifies to (d = \sqrt{x^2 + y^2}), which directly corresponds to the Pythagorean theorem. Thus, in this specific case, the distance formula is indeed equivalent to the Pythagorean theorem.
false
Carpentry
In the Pythagorean Theorem b is not twice a. The formula is [ a squared + b squared = c squared].
No.
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 difference in the distance formula and the pythagorean theorem is that the distance formula finds the distance between two points while the pythagorean theorem usually finds the hypotenuse of a right triangle.
distance formula!
the slope formula and the distance formula.
false
False.
Carpentry
Pythagoras