Question

applying the distance formula is equivalent to applying the pythagorean theorem if you are trying to find the distance between a point in the plane and the origin. a. true b. false

Explanation:

The distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. When finding the distance from a point $(x,y)$ to the origin $(0,0)$, it becomes $d=\sqrt{(x - 0)^2+(y - 0)^2}=\sqrt{x^{2}+y^{2}}$, which is based on the Pythagorean theorem $a^{2}+b^{2}=c^{2}$ in a right - triangle formed by the x and y coordinates and the line segment from the origin to the point.

Answer:

A. True