Question

On a coordinate plane, triangle P Q R has points (negative 8, 8), (negative 8, 4), and (10, negative 4).
The coordinates of the vertices of the triangle are
(–8, 8), (–8, –4), and
.

Consider QR the base of the triangle. The measure of the base is b = 18 units, and the measure of the height is h =
units.

The area of triangle PQR is
square units.

Answer 1

The vertices (as intended) are (–8, 8), (–8, –4), and (10, –4). QR runs from x = –8 to x = 10 so b = 10 − (−8) = 18. The height is the vertical distance from P(−8,8) down to y = −4, so h = 8 − (−4) = 12. Area = 1/2·b·h = 1/2·18·12 = 108 square units.