Classifying Triangles

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Presentation transcript:

Classifying Triangles Notes 3.6 Classifying Triangles

Triangles C A B AB, BC, and AC are the sides of ABC. A, B, C are the triangle's vertices.

Classifying Triangles BY THEIR ANGLES

Acute Triangle All 3 angles are acute (less than 90).

Equiangular Triangle All 3 angles are the same (60). If all angles are equal then all sides must be equal too.

Right Triangle One right angle.

Obtuse Triangle One obtuse angle.

Example 1A: Classifying Triangles by Angle Measures Classify BDC by its angle measures. B is an obtuse angle. B is an obtuse angle. So BDC is an obtuse triangle.

Classifying Triangles BY THEIR SIDES

Equilateral Triangle 3 congruent sides If all sides are equal then all angles must be equal too.

Isosceles triangle Has at least 2 congruent sides Vertex Angle Leg Leg Base Base Angle Base Angle Has at least 2 congruent sides Base angles are always congruent

Scalene Triangle No congruent sides

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

Lesson Summary Classify each triangle by its angles and sides. ∆ MNQ ∆ NQP ∆ MNP 4. Find the side lengths of the triangle. acute; equilateral obtuse; scalene acute; scalene 29; 29; 23