geometry - Coordinates of parallel triangle with a distance of 'd

I have a triangle with Co-ordinates $\{(x_1,y_1),(x_2,y_2),(x_3,y_3)\}$. I need to find co-ordinates of a triangle,whose edges are exactly $\alpha$ distance from previous triangle. Below is the fig

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The distance formula in rectangular (Cartesian) coordinates is the Pythagorean Theorem in disguise. A l…

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