Question

question 3 of 10 the distance formula is derived from the pythagorean theorem. a. true b. false

Explanation:

The distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ in a coordinate - plane is indeed derived from the Pythagorean theorem $a^{2}+b^{2}=c^{2}$, where the differences in the x - coordinates and y - coordinates form the legs of a right - triangle and the distance between the points is the hypotenuse.

Answer:

A. True