If AOBC is a rectangle whose three vertices are A (0, 3), O (0, 0) and B (5, 0), then the length of its diagonal is



We have three vertices;


A = (0, 3)


O = (0, 0)


B = (5, 0)


Now,


As we know that diagonals of a rectangle are of equal length,


So,


Length of the diagonal AB = Distance between the points A and B


Calculate the distance between the points (x1, y1) and (x2, y2);


By the formula;


We have;


d2 = (x2 - x1)2 + (y2 - y1)2



x1 = 0, x2 = 5


y2 = 3, y2 = 0


d2 = (5 – 0)2 + (0 – 3)2



d = √(25 + 9)= √34


Distance between A (0, 3) and B (5, 0) is √34


Hence, the required length of its diagonal is √34

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