Triangles ABC and XYZ are similar figures, because angles A, B, and C are congruent to angles X, Y, and Z, respectively.
If side AC equals 6 cm, BC equals 9 cm, and XZ equals 24 cm, what is the length of side YZ?
A.
46 cm
B.
44 cm
C.
54 cm
D.
36 cm
To find the length of side YZ, we can set up a proportion using the corresponding sides of the similar triangles ABC and XYZ.
AC/XY = BC/YZ
Substitute the given values:
6/24 = 9/YZ
Solve for YZ:
0.25 = 9/YZ
YZ = 9/0.25
YZ = 36
Therefore, the length of side YZ is 36 cm.
The answer is D. 36 cm.