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Writer's pictureMr Bee

How I wish I'd taught... shape [The Triangle]

Triangle: literally means three (tri) angles and so has 3 interior angles. But triangles are very special due to the wide variety of types of their properties.


Triangles have interior angles which sum to 180°. But why?




Triangles equal 180 degrees
Angles


Acute triangles

An acute triangle has interior angles that are all acute (<90°).


Right angle

A right angle triangle has one angle equal to 90°


Obtuse triangles

An obtuse triangle has one obtuse angle.


Equilateral triangles

An equilateral triangle has three sides of equal length, and therefore all three interior angles are equal 60°.


Isosceles triangle

The word isosceles literally translates as 'equal legs'. An isosceles triangle is a triangle with at least two equal side lengths and to equal angles.


Isosceles right angle

Like an isosceles triangle but with a right angle. Two sides remain the same length and two angles are equivalent.


Scalene

A scalene triangle has unequal sides and angles.



Types of triangles and their properties
Types of triangles



Work on triangles interior angles and straight lines with reasoning
Example of work



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