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
