Question

Find the length of segment AB.

Answer 1

The answer is D.
explain:
A^2 + b^2 = c^2

Answer 2

Answer:

A

Step-by-step explanation:

To calculate the distance d use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(3, 1) and (x₂, y₂ ) = B(5, 3)

AB = $\sqrt{(5-3)^2+(3-1)^2}$

     = $\sqrt{2^2+2^2}$

     = $\sqrt{4+4}$

     = $\sqrt{8}$ = $\sqrt{4(2)}$ = 2$\sqrt{2}$ → A