Question

Find the area of the triangle whose vertices are (3, 1), (–1, 3) and (–3, –2).

Answer 1

Answer:
Area of triangle =12 sq units.
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Answer 2

Answer:

The area of the triangle is 1

Step-by-step explanation:

From the above question,

They have given :

The area of a triangle is calculated using the formula

Area = |(x1×y2 + x2×y3 + x3×y1) / 2|,

where x1, x2, and x3 are the x-coordinates of the vertices and y1, y2, and y3 are the y-coordinates of the vertices. This formula is known as the Shoelace Formula or the Surveyor’s Formula.

To calculate the area of the triangle using the formula

Area = |(x1×y2 + x2×y3 + x3×y1) / 2|

Substitute the coordinates of the vertices into the formula:

Area = |(3×3 + 1×(–1) + –2×(–3)) / 2|

Simplify the equation:

Area = |9 – 1 – 6| / 2

Simplify the equation further:

Area = |2| / 2

By substituting the coordinates of the vertices into the formula, the area of the triangle can be calculated.

Find the answer:

Area = 1

Therefore, the area of the triangle is 1.

For more such related questions : https://brainly.in/question/15461363

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