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Classify triangles by their angle measures and side lengths.

Objective. Classify triangles by their angle measures and side lengths. Recall that a triangle ( ) is a polygon with three sides. Triangles can be classified in two ways: by their angle measures or by their side lengths. Classify by angle measure. Equiangular. Acute. Right. Obtuse.

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Classify triangles by their angle measures and side lengths.

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  1. Objective Classify triangles by their angle measures and side lengths.

  2. Recall that a triangle ( ) is a polygon with three sides. Triangles can be classified in two ways: by their angle measures or by their side lengths.

  3. Classify by angle measure Equiangular Acute Right Obtuse Has three acute angles Has one right angle Has one obtuse angle All angles are congruent

  4. Classify by Sides Equilateral Isosceles Scalene At least two sides congruent No sides congruent All sides congruent

  5. Parts of an isosceles triangle Vertex Leg Leg Base Angle Base Angle Base

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

  7. From the figure, . So AC = 15, and ACD is scalene. Example Classify ACD by its side lengths.

  8. FHG is an equiangular triangle by definition. Example Classify FHG by its angle measures. EHG is a right angle. Therefore mEHF +mFHG = 90°. By substitution, 30°+ mFHG = 90°. SomFHG = 60°.

  9. B is an obtuse angle. So BDC is an obtuse triangle. Example Classify BDC by its angle measures. B is an obtuse angle.

  10. Homework Section 3 – 2 # 1-21 all, 22-34 even

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