The area of the triangle in the diagram will be 1/2y(x2-x1). Option B is correct.
How do you find the area of a triangle?
The area of the triangle is half of the length and base of the triangle. The area of the triangle is found as;
A = (1/2)×L×B
Here,
A is the area
L is the length
B is the breadth
The area of the coordinate system is;
[tex]\rm A = \frac{1}{2} \times |x_1(y_2-y_3)+x_2(y_1-y_3) +x_3(y_3-y_1) \\\\ A = \frac{1}{2}\times |x_1(y_1)+x_2(y_1-0)+0)\\\\ A = \frac{1}2\times y_1|x_1-x_2| \\\\ A = \frac{1}{2} y (x_2-x_1)[/tex]
The area of the triangle in the diagram will be 1/2y(x2-x1).
Hence,option B is correct.
To learn more about the area of a triangle, refer to https://brainly.com/question/19305981
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