Question

what is the area of triangle abc? 11 square units 7 square units 3 square units 15 square units

Explanation:

Step1: Identify coordinates of A, B, C

Assume A(1,1), B(0,4), C(5,3) from graph.

Step2: Apply shoelace formula

Area = $\frac{1}{2}|x_A(y_B - y_C) + x_B(y_C - y_A) + x_C(y_A - y_B)|$

Step3: Substitute coordinates

$\frac{1}{2}|1(4-3) + 0(3-1) + 5(1-4)| = \frac{1}{2}|1 + 0 -15| = \frac{1}{2}|-14| = 7$

Answer:

7 square units