Question

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

(a) 5 units (b) 3 units (c) 4 units (d) $\sqrt{34}$ units

Answer 1

Now, length of the diagonal AB = Distance between the points A(0,3) and B(5,0)

$=\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}=\sqrt{(5-0{)}^2+(0-3{)}^2}=\sqrt{34}$

Hence, the correct choice is (d).