The perimeter of the triangle is 36 units.
Distance
The distance between two points A(x₁, y₁) and B(x₂, y₂) is given by:
[tex]AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
The coordinate of the triangle is A(0, 0), B(10, 0) and C(5, 12). Hence:
AB = 10 units
[tex]BC=AC=\sqrt{(5-0)^2+(12-0)^2}=13\ units[/tex]
Perimeter of triangle = AB + BC + AC = 10 + 13 + 13 = 36 units
The perimeter of the triangle is 36 units.
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