Answer:
Explanation:
Given two similar triangles with lengths marked, you want to find the values of the unknown lengths.
Similar triangles
Corresponding sides of similar triangles are proportional. It can be useful to identify the corresponding sides, and the measures they are given.
∆ABC ~ ∆DEF
AB = m, DE = 4.5
BC = 2, EF = 1.8
CA = 3, FD = n
Proportion
These corresponding sides tell us ...
AB/DE = BC/EF = CA/FD
m/4.5 = 2/1.8 = 3/n
Solving for m gives ...
m = 4.5(2/1.8) = 5
n = 3(1.8/2) = 2.7
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Additional comment
You may notice that AC +CB = AB, or 3 + 2 = 5. This means the given side lengths do not actually form a triangle: they do not satisfy the triangle inequality, which requires AC +CB > AB.
It might be a good idea to discuss this question with your teacher.