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Mathematics / Similarity

Mathematics / Similarity

A triangle is one of the basic shapes of geometry. It is a polygon with 3 sides and 3 vertices/corners.

Two triangles are said to be similar if their angles are equal and their corresponding sides are proportional.

In order to prove that two triangles are similar, it is sufficient to prove either of the following conditions:

  • AAA(Angle-Angle-Angle) - If 3 angles of the two triangles are correspondingly equal then the two triangles are similar
  • AA(Angle-Angle) - If 2 angles of the two triangles are respectively equal then the two triangles are similar
  • SSS(Side-Side-Side) - If the corresponding 3 sides of the two triangles are in proportion then the triangles are similar
Exercises
Lessons
Topics
Exercises
Lessons
Topics
  • Similar Triangles

    • Questions: 205
    • Properties of ratios of areas of two triangles
    • Basic proportionality theorem
    • Introduction to similarity
    • Similar triangles
    • Areas of two similar triangles
    • Similarity in right angled triangles
    • Pythagoras theorem and its converse
    • Application of Pythagoras theorem in acute and obtuse angle.
    • Appolonius theorem
  • Triangle -- Summary

    Learnhive Lesson on Triangle

    Similarity of Triangles -- Summary

    Learnhive Lesson on Similarity of Triangles

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