Question

The coordinates of the plotted points are labeled as upper A left parenthesis 2 comma 4 right parenthesis, upper B left parenthesis 9 comma 4 right parenthesis, and upper C left parenthesis 3 comma 2 right parenthesis. The points are joined by solid lines to form a triangle.


Compute the area of the triangle using coordinates. What is the area of the triangle in square units?

(1 point)
Responses

14
14

7
7

3.5
3.5

10

Answer 1

A(2,4) and B(9,4) are on the horizontal line y = 4, so base AB = 9 − 2 = 7. Point C has y = 2, so the perpendicular height to AB is 4 − 2 = 2. Area = 1/2 · base · height = 1/2 · 7 · 2 = 7.

Answer: 7