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What is the perimeter of the triangle shown on the coordinate plane, to the nearest tenth of a unit?

Options:
Option 1: 24.8 units
Option 2: 27.8 units
Option 3: 28.5 units
Option 4: 30.9 units

1 Answer

2 votes

Final answer:

To find the perimeter of the triangle, use the distance formula to calculate the distances between the three points of the triangle and then add the distances together.

Step-by-step explanation:

The perimeter of a triangle is the sum of the lengths of its sides. To find the perimeter, we need to calculate the distance between the three points of the triangle. We can use the distance formula, which is based on the Pythagorean theorem. Let's say the coordinates of the triangle's vertices are (x1, y1), (x2, y2), and (x3, y3).

The distance between the first two points is √((x2 - x1)^2 + (y2 - y1)^2). The distance between the second and third points is √((x3 - x2)^2 + (y3 - y2)^2). And finally, the distance between the third and first points is √((x1 - x3)^2 + (y1 - y3)^2). Add these distances together to find the perimeter of the triangle.

User Benpalmer
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