Use Determinants to Find the Area of a Triangle with the Given

Multiple Choice

Use determinants to find the area of a triangle with the given vertices and confirm your answer by plotting the points in a coordinate plane and using the formula $\text { Area } \left. = \frac { 1 } { 2 } \text { (base) (height } \right)$ . ?
(5,-3) , (2,-2) , (7,5)
?

A) 21
B) 13
C) 15
D) 19
E) 17