What is the length of segment R S?
![What is the length of segment R S class=](https://us-static.z-dn.net/files/d0f/75708dab91dc3f39a59fe1d2b640c78b.png)
Answer:
C
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion , that is
[tex]\frac{RS}{FG}[/tex] = [tex]\frac{ST}{GH}[/tex] ( substitute values )
[tex]\frac{RS}{21}[/tex] = [tex]\frac{4}{12}[/tex] ( cross- multiply )
12 RS = 84 ( divide both sides by 12 )
RS = 7 cm