Question

Using the distance formula enter the values in the empty boxes

Answer 1

Given:

The points are,

$\begin{gathered} R(0,a) \\ S(b,c) \end{gathered}$

To find:

The length of RS.

Explanation:

Using the distance formula,

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

Substituting the values we get,

$\begin{gathered} d=\sqrt{(b-0)^2+(c-a)^2} \\ d=\sqrt{b^2+(c-a)^2} \end{gathered}$

Therefore, the value belongs to the green box is b.

Final answer:

The value belongs to the green box is,

$b$

The value belongs to the gray box is

$c-a$