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Classify triangles by their angle measures and side lengths.

Learn how to classify triangles based on their angle measures and side lengths. Use triangle classification to find angle measures and side lengths. Explore acute, equiangular, right, obtuse, equilateral, isosceles, and scalene triangles. Solve example problems and apply triangle classification concepts.

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Classify triangles by their angle measures and side lengths.

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  1. Objectives Classify triangles by their angle measures and side lengths. Use triangle classification to find angle measures and side lengths.

  2. Vocabulary acute triangle equiangular triangle right triangle obtuse triangle equilateral triangle isosceles triangle scalene triangle

  3. Recall that a triangle is a polygon with three sides. Triangles can be classified in two ways: 1. 2.

  4. C A AB, BC, and AC are the _______ ABC. B A, B, C are the triangle's _________.

  5. By Angle Measures Acute Triangle Equiangular Triangle Right Triangle

  6. By Angle Measures Obtuse Triangle One obtuse angle

  7. Example 1A: Classifying Triangles by Angle Measures Classify BDC by its angle measures.

  8. Example 1B: Classifying Triangles by Angle Measures Classify ABD by its angle measures.

  9. Example 1C Classify FHG by its angle measures.

  10. By Side Lengths Equilateral Triangle Isosceles Triangle Scalene Triangle

  11. Remember! When you look at a figure, you cannot assume segments are congruent based on appearance. They must be marked as congruent.

  12. Example 2A: Classifying Triangles by Side Lengths Classify EHF by its side lengths.

  13. By the Segment Addition Postulate, EG = EF + FG = 10 + 4 = 14. Since no sides are congruent, EHG is scalene. Example 2B: Classifying Triangles by Side Lengths Classify EHGby its side lengths.

  14. Example 3A: Using Triangle Classification Find the side lengths of JKL.

  15. Example 3A Continued Find the side lengths of JKL.

  16. Example 3B Find the side lengths of equilateral FGH.

  17. Example 4A: Application A steel mill produces roof supports by welding pieces of steel beams into equilateral triangles. Each side of the triangle is 18 feet long. How many triangles can be formed from 420 feet of steel beam?

  18. Example 4b Each measure is the side length of an equilateral triangle. Determine how many 10 in. triangles can be formed from a 100 in. piece of steel.

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