Question

If △ ABC is similar to △ XYZ , what is the value of Z if b = 9 , c = 6 , and y = 15 ?

A. 10
B. 12
C. 18
D. 20

Answer 1

To find the value of Z in a similar triangle, set up ratios of the corresponding sides and solve for the unknown side using cross multiplication.

Step-by-step explanation:

If △ ABC is similar to △ XYZ, we can set up ratios of the corresponding sides to find the value of Z. The ratio of corresponding sides is given by:

AB / XY = BC / YZ = AC / XZ

Based on the given information, we have b = 9, c = 6, and y = 15. So, the ratio becomes:

9 / X = 6 / 15

Cross multiply and solve for X:

6X = 9 * 15

X = 9 * 15 / 6

X = 22.5

Therefore, the value of Z is 22.5.