Question

If A = (0, 0) and B = (2, 5), what is the approximate length of AB ?

A. 5.39 units
B. 4.58 units
C. 2.65 units
D. 5.74 units

Answer 1

A,5.39.

2-0 and 5-0

5²+2²=√29=5.39

Answer 2

A. 5.39 units.

Explanation:

We have been given coordinates of two points A = (0, 0) and B = (2, 5). We are asked to find the length of AB.

We will use distance formula to solve for our given problem.

`\text{Distance}=√((x_2-x_1)^2+(y_2-y_1)^2)`

Substituting our given values in above formula we will get,

`\text{Distance between A and B}=√((2-0)^2+(5-0)^2)`

`\text{Distance between A and B}=√((2)^2+(5)^2)`

`\text{Distance between A and B}=√(4+25)`

`\text{Distance between A and B}=√(29)`

`\text{Distance between A and B}=5.3851648071345\approx 5.39`

Therefore, the length of AB is approximately 5.39 units and option A is the correct choice.