Triangle Perimeter Calculator With Vertices And Faces

Triangle Perimeter Formula:

\[ P = \text{dist}(A,B) + \text{dist}(B,C) + \text{dist}(C,A) \]

Perimeter (P):

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1. What is Triangle Perimeter?

The perimeter of a triangle is the total length around the triangle, calculated as the sum of the lengths of its three sides. For a triangle with vertices A, B, and C, it's the sum of distances AB, BC, and CA.

2. How Does the Calculator Work?

The calculator uses the distance formula between points:

\[ \text{dist}(P_1,P_2) = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \]

Then sums all three side lengths:

\[ P = AB + BC + CA \]

Where:

\( AB \) — Distance between points A and B
\( BC \) — Distance between points B and C
\( CA \) — Distance between points C and A

3. Importance of Perimeter Calculation

Details: Perimeter is fundamental in geometry, used in construction, design, and various engineering applications. It helps determine boundary lengths and material requirements.

4. Using the Calculator

Tips: Enter the (x,y) coordinates for all three vertices of the triangle. The calculator will compute the distances between each pair of points and sum them to get the perimeter.

5. Frequently Asked Questions (FAQ)

Q1: Does the order of points matter?
A: No, the perimeter will be the same regardless of the order you enter the points.

Q2: What units does this use?
A: The result is in the same units as your input coordinates. If you enter coordinates in meters, the perimeter will be in meters.

Q3: Does this work for 3D triangles?
A: This calculator is for 2D triangles only. For 3D, you would need to include z-coordinates in the distance calculation.

Q4: What if my points are colinear?
A: The calculator will still work, but the result will be a degenerate triangle (three points in a straight line).

Q5: How precise are the results?
A: Results are rounded to 2 decimal places for readability, but calculations use full precision internally.