Question

If A=(0,0) and B=(6,3), what is the length of AB ?

Answer 1

D(AB) = √(6-0)^2 +(3-0)^2
d(AB) = √36+9
d(AB) = √45
d(AB) = 3√5
or
d(AB) = 6.71

hope it helps

Answer 2

Answer:

6.71 units.

Step-by-step explanation:

We have been given coordinates of two points $A(0,0)$ and $B(6,3)$. We are asked to find the length of AB.

To find the length of Ab, we will use distance formula.

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

Let point $(0,0)=(x_1,y_1)$ and $(6,3)=(x_2,y_2)$.

Upon substituting coordinates of our given points in distance formula, we will get:

$d=\sqrt{(6-0)^2+(3-0)^2}$

$d=\sqrt{(6)^2+(3)^2}$

$d=\sqrt{36+9}$

$d=\sqrt{45}$

$d=\sqrt{5\cdot 9}$

$d=\sqrt{5\cdot 3^2}$

$d=3\sqrt{5}$

$d=6.7082039\approx 6.71$

Therefore, the length of AB is approximately 6.71 units.