Triangles: concepts, properties and types

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• Triangles

• represent

• are

• divided into

• Simpler ways

• of

• Polygons

• Three sides

• of

• Three segments

• also

• that are

• Linked end to end

• that form

• Three internal angles

• Three vertices

• that

• Extended 

• form

• Three external angles

• are

• Equal

• to the

• Sum

• of the

• Non-adjacent interior angles

• together

• Add up  180˚

• are

• Points where they coincide

• constitute

• The area

• Is equal to

• (base × height)/2

• According to internal angles

• special cases

• According to the length of its sides

• Acute triangle

• Right triangle

• Obtuse triangle

• has

•  3 angles < 90°

• has

• 1 angles = 90°

• has

• 1 angle > 90°

• Equilateral acute triangle

• has

•  3 angles < 90° 3 sides =

• Acute isosceles triangle

• has

• 3 angles < 90°  2 sides = and 1 ≠

• Scalene acute triangle

• has

•  3 angles < 90° 3 sides ≠

• Isosceles right triangle

• has

• 1 angles = 90°  2 sides = and 1 ≠

• Scalene right triangle

• has

• 1 angles = 90° 3 sides ≠

• Isosceles obtuse triangle

• has

• 1 angle > 90° 2 sides = and 1 ≠

• has

• 1 angle > 90° 3 sides ≠

• Equilateral triangle

• Isosceles triangle

• Scalene triangle

• has

• 3 sides =

• has

•  2 sides = and 1 ≠

• has

• 3 sides ≠

• in which

• The largest

• is the

• Opposite of the largest angle

• Scalene obtuse triangle