Triangle ABC is similar to triangle TUV. What is the value of AC if TV is 9 feet. AB is 36 feet, and TU is 4 feet?

Step-by-step explanation:

Triangle ABC is similar to triangle TUV. This means that the ratio of the length of each side of ∆ABC to the length of the corresponding side of ∆ TUV is constant. Therefore,

AB/TU = BC/UV = AC/TV

Therefore,

36/4 = AC/9

Cross multiplying, it becomes

4 * AC = 9 * 36

4AC = 324

Dividing the left hand side and the right hand side of the equation by 4, it becomes

4AC/4 = 324/4

AC = 81 feet