189k views
4 votes
Triangles XYZ and RST are similar. XY

is 24 inches, YZ is 16 inches, XZ is
12 inches, RS is 18 inches, and RT is
9 inches. Find the length of ST.

User Gabssnake
by
6.2k points

1 Answer

3 votes

Answer:

ST = 12

Explanation:

18/9 is similar to 24/12

taking one of those as a basis, if:

24-------18

16--------ST

24*ST = 16*18

24ST = 288

ST = 288/24

ST = 12

User Sumit Agarwal
by
7.5k points