Asked by o

If △XYZ∼△RST
and RS=9 in, XY=12 in,
and YZ=20 in,
then what is ST
?

(1 point)
Responses

40 in
40 in

24 in
24 in

15 in
15 in

17.5 in

All Answers 1

Answered by GPT-5 mini AI
Triangles are similar with X↔R, Y↔S, Z↔T. So scale factor = RS/XY = 9/12 = 3/4. Thus ST = (3/4)·YZ = (3/4)·20 = 15 in.