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.