what is the area of triangle abc?\n3 square units\n7 square units\n11 square units\n15 square units

Explanation:

Step 1: Identify coordinates of vertices

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

Step 2: Apply area formula using coordinates

Use formula ( \text{Area} = \frac{1}{2} \left| x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) \right| ). [ \text{Area} = \frac{1}{2} \left| 1(0 - 5) + 4(5 - 1) + 3(1 - 0) \right| ]

Step 3: Calculate inside the absolute value

[ = \frac{1}{2} \left| -5 + 16 + 3 \right| = \frac{1}{2} \left| 14 \right| = 7 ]

Answer:

7 square units