Similar Triangles Formula
In the last section, we studied two conditions using which we can verify whether the given triangles are similar or not. The conditions are when two triangles are similar; their corresponding angles are equal, or the corresponding sides are in proportion. Using either condition, we can prove △PQR and △XYZ are similar from the following set of similar triangle formulas.
Similar Triangles
Similar Triangles are triangles with the same shape but can have variable sizes. Similar triangles have corresponding sides in proportion to each other and corresponding angles equal to each other. Similar triangles are different from congruent triangles. Two congruent figures are always similar, but two similar figures need not be congruent.
Two triangles are considered similar when their corresponding angles match and their sides are proportional. This means that similar triangles have the same shape, although their sizes may differ. On the other hand, triangles are defined as congruent when they not only share the same shape but also have corresponding sides that are identical in length.
Now, let’s learn more about similar triangles and their properties with solved examples and others in detail in this article.
Table of Content
- What are Similar Triangles?
- Similar Triangles Definition
- Similar Triangles Examples
- Basic Proportionality Theorem (Thales Theorem)
- Similar Triangles Criteria
- Similar Triangles Formula
- Formula for Similar Triangles in Geometry
- Similar Triangle Rules
- Angle-Angle (AA) or AAA Similarity Theorem
- Side-Angle-Side or SAS Similarity Theorem
- Side-Side-Side or SSS Similarity Theorem
- How to Find Similar Triangles?
- Area of Similar Triangles – Theorem
- Difference Between Similar Triangles and Congruent Triangles
- Applications of Similar Triangles
- Important Notes on Similar Triangles
- Solved Questions on Similar Triangles
- Practice Questions Similar Triangles
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