Question

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

Explanation:

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ in a coordinate - plane, $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$, is based on constructing a right - triangle with the line segment connecting the two points as the hypotenuse. By the Pythagorean theorem $a^{2}+b^{2}=c^{2}$, where $a=\vert x_2 - x_1\vert$ and $b=\vert y_2 - y_1\vert$ and $c$ is the distance $d$ between the two points.

Answer:

A. True