10-5 Triangles

10-5 Triangles Math Notes Measurement & Geometry 2.0

3 Triangles Based on ANGLES 45˚ 90˚ 45˚

3 Triangles Based on ANGLES 45˚ 90˚ 45˚ RIGHT Triangle One angle is 90˚ (right angle)

3 Triangles Based on ANGLES 45˚ 80˚ 90˚ 45˚ 40˚ 60˚ RIGHT Triangle One angle is 90˚ (right angle)

3 Triangles Based on ANGLES 45˚ 80˚ 90˚ 45˚ 40˚ 60˚ RIGHT ACUTE Triangle Triangle One angle All three is 90˚ (right angles are acute angle)

3 Triangles Based on ANGLES 45˚ 80˚ 50˚ 90˚ 45˚ 100˚ 40˚ 60˚ 30˚ RIGHT ACUTE Triangle Triangle One angle All three is 90˚ (right angles are acute angle)

3 Triangles Based on ANGLES 45˚ 80˚ 50˚ 90˚ 45˚ 100˚ 40˚ 60˚ 30˚ RIGHT ACUTE Triangle OBTUSE Triangle Triangle One angle All three One angle is 90˚ (right angles are is obtuse acute angle)

45˚ 90˚ 45˚ 45˚ 90˚ + 45˚

45˚ 80˚ 90˚ 45˚ 60˚ 40˚ 45˚ 80˚ 90˚ 40˚ + 45˚ + 60˚

100˚ 50˚ 50˚ + 30˚ 100˚ 30˚

100˚ 50˚ 50˚ + 30˚ 100˚ 30˚ The sum of the angles of ANY triangle is ALWAYS...

100˚ 50˚ 50˚ + 30˚ 100˚ 30˚ The sum of the angles of ANY triangle is ALWAYS... 180˚

3 Triangles Based on SIDES

3 Triangles Based on SIDES 5” 5” 5”

3 Triangles Based on SIDES 5” 5” 5” EQUILATERAL TRIANGLE ALL sides are the same length

3 Triangles Based on SIDES 5” 5” 6” 6” 5” 3” EQUILATERAL TRIANGLE ALL sides are the same length

3 Triangles Based on SIDES 5” 5” 6” 6” 5” 3” EQUILATERAL ISOSCELES TRIANGLE TRIANGLE ALL sides are TWO sides are the same length the same length

3 Triangles Based on SIDES 5” 5” 6” 6” 6” 4” 5” 3” 5” EQUILATERAL ISOSCELES TRIANGLE TRIANGLE ALL sides are TWO sides are the same length the same length

3 Triangles Based on SIDES 5” 5” 6” 6” 6” 4” 5” 3” 5” EQUILATERAL ISOSCELES SCALENE TRIANGLE TRIANGLE TRIANGLE ALL sides are TWO sides are NO sides are the same length the same length the same length

Notation for Triangles

Notation for Triangles B A C

Notation for Triangles B Write this down as: A C

Notation for Triangles B Write this down as: ABC A C

Notation for Triangles B Write this down as: ABC You say: “triangle ABC” A C

Notation for Triangles

Notation for Triangles Y X Z

Notation for Triangles Y Write this down as: X Z

Notation for Triangles Y Write this down as: ___ X Z

Notation for Triangles Y Write this down as: ___ You say: “triangle ____” X Z

10-5 Triangles

by Rudy Alfonso

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