Given:
The points are,
![\begin{gathered} R(0,a) \\ S(b,c) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/thywess49mnb1s908fz7y21fvpti9sd5hz.png)
To find:
The length of RS.
Step-by-step explanation:
Using the distance formula,
![d=√((x_2-x_1)^2+(y_2-y_1)^2)](https://img.qammunity.org/2023/formulas/mathematics/college/ryn3fzehb0ozllfgi4eom8sc1fxhgg6wgd.png)
Substituting the values we get,
![\begin{gathered} d=√((b-0)^2+(c-a)^2) \\ d=√(b^2+(c-a)^2) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/7e3ul5ts87o1kb3behdctczmin9i3aqmlb.png)
Therefore, the value belongs to the green box is b.
Final answer:
The value belongs to the green box is,
![b](https://img.qammunity.org/2023/formulas/mathematics/college/zemelnbvlkn3xzff1wg7xgbs4kea2l4s98.png)
The value belongs to the gray box is
![c-a](https://img.qammunity.org/2023/formulas/mathematics/college/6xbcscfwe8rfjmdd72135x4g2zz3q22gti.png)