AOBC is a rectangle whose three vertices are | vedclass

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(D) In a rectangle $AOBC$,the diagonal is the line segment joining opposite vertices. Here,$AB$ is the diagonal.The length of the diagonal $AB$ is the

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$\sqrt{34}$

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(D) In a rectangle $AOBC$,the diagonal is the line segment joining opposite vertices. Here,$AB$ is the diagonal.The length of the diagonal $AB$ is the distance between the points $A (0, 3)$ and $B (5, 0)$.The distance formula between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by:$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$Here,$x_1 = 0, y_1 = 3$ and $x_2 = 5, y_2 = 0$.Substituting these values into the distance formula:$AB = \sqrt{(5 - 0)^2 + (0 - 3)^2}$$AB = \sqrt{(5)^2 + (-3)^2}$$AB = \sqrt{25 + 9}$$AB = \sqrt{34}$Thus,the length of the diagonal is $\sqrt{34}$.

$AOBC$ is a rectangle whose three vertices are $A (0, 3)$,$O (0, 0)$,and $B (5, 0)$. The length of its diagonal is

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