Question

The side of a triangle is drawn from (-7,11) to (-7,-6) on a coordinate plane. What is the length of the side of the triangle in units?A: 4B: 5C: 14D: 17

Answer 1

D. 17

1) To find the length of that side, let's use the distance formula derived from the Pythagorean Theorem.

`\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ d=\sqrt[]{(-7-(-7))^2+(-6-11)^2} \\ d=\text{ 17} \end{gathered}`

2) So the distance between those two points, i.e. the side of that triangle measures 17 units.