Show that the points A(1, 7), B(4, 2), C(-1, -1) and D(-4, 4) taken in order form a square by checking sides and diagonals. What is the length of each side?

Question

Accepted Answer

√34. AB = √(4-1)^2 + (2-7)^2 = √9+25 = √34. Similarly BC = CD = DA = √34, and diagonals AC = BD = √68, so it is a square with side √34.

Show that the points A(1, 7), B(4, 2), C(-1, -1) and D(-4, 4) taken in order form a square by checking sides and diagonals. What is the length of each side?

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