Question

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

• A. 5
• B. 3
• C. 4
• D. $\sqrt{34}$

Answer 1

The correct option is D $\sqrt{34}$

Length of diagonal is the distance between the points A and B.
Distance
between two points $(x_1,y_1)$ and $(x_2,y_2)$ can be calculated using the formula $\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}$

Distance between the points $(0,3)$ and $(5,0)=\sqrt{{(5-0)}^2+{(0-3)}^2}=\sqrt{25+9}=\sqrt{34}$