Similart triangles help from bunnel needed

Corresponding sides are opposite the corresponding angles. Corresponding angles are marked in the diagram below:


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Hello Bunuel.
As per the AA postulate, aren't triangles ABC, CBH, ACH similar? This is confusing because in your post on Triangles you have mentioned that ABC, CHB and CHA are similar. Can you please help?

Thanks.

Aren't those the same triangles? Or do you mean that the order is different? Then, yes: ABC, CBH, ACH are similar.

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

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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