The triangles are same, but the order matters right? Because if you have to take a ratio of the corresponding sides to find the length of the unknown side then it is important that we write the triangles in that specific order - correct? Thanks for your help Bunuel..
Triangles CBH and CHB are the same. There are two ways in which you can find the corresponding sides.
Method 1: Identify that the triangles are similar. Look for corresponding angles (i.e. angles which are equal) and note the sides opposite to them. The ratio of these sides will be a constant. Here, name of the triangle is immaterial.
Method 2: Identify the triangles that are similar and write them in order i.e. triangle ABC is similar to triangle CBH so angle A will equal angle C, angle B will equal angle B and angle C will equal angle H. Now you can just look at the triangle names and write the corresponding sides:
AB/CB = BC/BH = AC/CH
Both methods are correct. In one, you work later, in the other you work before.
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