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Triangle problems (isosceles and equilateral)


Lets remind ourselves about the properties of some special triangles. 

Equilateral triangles

In an equilateral triangle:

  • All sides are equal lengths
  • All angles are degrees(60)


Isosceles triangles

Isosceles triangles have:

  • Equal base angles


We can use these special properties to help us solve triangle problems.

Worked Examples

Question 1

Find the value of $x$x

Question 2

Find the value of $x$x


Question 3

Consider the given diagram.

a) Find the value of $a$a, giving reasons. 

b) Find the value of $b$b, giving reasons. 




Deduce the angle properties of intersecting and parallel lines and the angle properties of polygons and apply these properties

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