Question
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 10 cm, and XZ equals 18 cm, what is the length of side YZ?
A.
40 cm
B.
60 cm
C.
50 cm
D.
30 cm
If side AC equals 6 cm, BC equals 10 cm, and XZ equals 18 cm, what is the length of side YZ?
A.
40 cm
B.
60 cm
C.
50 cm
D.
30 cm
Answers
GPT 3.5
To find the length of side YZ, we can set up a proportion between the corresponding sides of the similar triangles ABC and XYZ.
AC/BC = XZ/YZ
Substitute the given values:
6/10 = 18/YZ
Solve for YZ:
YZ = (10 * 18)/6
YZ = 30
Therefore, the length of side YZ is 30 cm.
Answer: D. 30 cm
AC/BC = XZ/YZ
Substitute the given values:
6/10 = 18/YZ
Solve for YZ:
YZ = (10 * 18)/6
YZ = 30
Therefore, the length of side YZ is 30 cm.
Answer: D. 30 cm