Final answer:
To calculate the perimeter of a triangle given the vertices, use the distance formula to find the distance between each pair of vertices and sum these distances. This method requires accurate coordinates for each vertex.
Step-by-step explanation:
To find the perimeter of a triangle with vertices a, b, and c, we need the coordinates of these vertices. However, as your question did not provide coordinates for these vertices, I can give a general explanation of how it's done.
You calculate the distance between each pair of vertices using the distance formula: \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\). Sum up these distances, and that's the perimeter of the triangle.
For example, if we have vertices a(1,2), b(3,4), and c(5,6), the distance between a and b (ab) will be \(\sqrt{(3 - 1)^2 + (4 - 2)^2} = \sqrt{4 + 4} = \sqrt{8}\). Similarly, calculate bc and ac. Then, the perimeter is ab + bc + ac.
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