Question

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

• A. $3$
• B. $5$
• C. $\sqrt{7}$
• D. $\sqrt{34}$

Answer 1

Answer: (D)

$\sqrt{34}$

The distance between points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}$

The distance between two points $B(5,0)andA(0,3)$

$AB=\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2)}$

$AB=\sqrt{(5-0{)}^2+(3-0{)}^2)}$

$AB=\sqrt{25+9}$

$AB=\sqrt{34}$