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Home » AOBC is rectangle whose three vertices are and . The length of each of its diagonals is (a) 5 units (b) 3 units (c) 4 units (d) units
AOBC is rectangle whose three vertices are \mathrm{A}(0,3), \mathrm{O}(0,0) and \mathrm{B}(5,0). The length of each of its diagonals is (a) 5 units (b) 3 units (c) 4 units (d) \sqrt{34} units
CBSE | Class 10 | Coordinate Geometry | Exercise 16.5 | Maths | RS Aggarwal
AOBC is rectangle whose three vertices are \mathrm{A}(0,3), \mathrm{O}(0,0) and \mathrm{B}(5,0). The length of each of its diagonals is (a) 5 units (b) 3 units (c) 4 units (d) \sqrt{34} units

The correct option is option (c) 4 units

\mathrm{A}(0,3), 0(0,0) and \mathrm{B}(5,0) are the three vertices of a rectangle; let \mathrm{C} be the fourth vertex Then, the length of the diagonal,

A B=\sqrt{(5-0)^{2}+(0-3)^{2}}

=\sqrt{(5)^{2}+(-3)^{2}}

=\sqrt{25+9}

=\sqrt{34} units

As the diagonals al rectangle is equal.

=>  the length of its diagonals is \sqrt{34} units.

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