Question

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

Answer 1

Answer:

A. 5.39 units.

Step-by-step 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.

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

Substituting our given values in above formula we will get,

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

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

$\text{Distance between A and B}=\sqrt{4+25}$

$\text{Distance between A and B}=\sqrt{29}$

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

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

Answer 2

A,5.39.

2-0 and 5-0

5²+2²=√29=5.39