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Answer:

Choice B

Step-by-step explanation:

The area of the triangle is 10 square units, the correct option is B.

What is a Triangle?

A triangle is a polygon with three sides, angles, and vertices.

The triangle is classified into various types on the basis of the angle and on the basis of equality of the length of the sides.

The vertices of the triangle are at:

(-3,3), (2, 3), and (4,7).

The area of the triangle has to be determined.

The length of the sides will be calculated using the distance formula.

side 1 = [tex]\rm \sqrt { (3-3)^2 + ( 2 +3)^2}[/tex] = 5 units

side 2 = 2√5 units

side 3 = √65 units

The height of the triangle is determined by calculating the distance from (4, 7) to (4, 3).

The height of the triangle = 4 units

The area of a triangle is given by,

A = (1/2) * base * height

A = (1/2) * 5 * 4

A = 10 square units

To know more about Triangle

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