Question

In the accompanying diagram, triangle ABC is similar to triangle RST, BC= 12, AC=15, and ST= 8. Find RT.

Answer 1

10

Explanation:

ABC is similar to RST,

so BC is corresponding to ST, and AC is corresponding to RT

BC=12 and ST=8

so the scale factor from RST to ABC is 1.5 and the scale factor from ABC to RST is 2/3 because 12*(2/3) is 8, and 8*1.5 is 12.

now apply this to AC to find RT

AC=15

15*(2/3)=10

10*1.5=15

RT =10