Lesson: Types of Triangles Based on Sides

In this lesson, we will learn how to classify triangles as equilateral, isosceles, or scalene based on their sides.

Sample Question Videos

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Worksheet: Types of Triangles Based on Sides • 25 Questions • 1 Video

Q1:

What kind of triangles have all sides of the same length?

Q2:

If 𝐴 𝐵 = 1 3 c m , 𝐵 𝐶 = 6 c m , and 𝐶 𝐴 = 9 c m , what is the type of 𝐴 𝐵 𝐶 in terms of its side lengths?

Q3:

What type of triangle is 𝐴 𝐵 𝐶 , in terms of its side lengths?

Q4:

A triangle has vertices at the points 𝐴 ( 4 , 2 ) , 𝐵 ( 6 , 2 ) , and 𝐶 ( 5 , 1 ) .

Work out the lengths of the sides of the triangle. Give your answers as surds in their simplest form.

What type of triangle is 𝐴 𝐵 𝐶 ?

Q5:

In triangle 𝐴 𝐵 𝐶 , we have 𝑚 𝐴 = 8 0 and 𝑚 𝐵 𝑚 𝐶 = 4 1 : : . What kind of triangle is it?

Q6:

Is 𝐴 𝐵 𝐶 a scalene, isosceles, or equilateral triangle?

Q7:

What is the kind of triangle that the points 𝐴 ( 2 , 7 ) , 𝐵 ( 1 , 6 ) , and 𝐶 ( 9 , 6 ) form with respect to its sides?

Q8:

Suppose that in 𝐴 𝐵 𝐶 , we have 𝐴 𝐵 = 8 . 5 , 𝐵 𝐶 = 8 . 5 , and 𝐴 𝐶 = 1 1 . What kind of triangle is this, in terms of its side lengths?

Q9:

In 𝐴 𝐵 𝐶 , we have 𝑚 𝐴 = 6 0 and 𝑚 𝐵 = 6 0 . What type of triangle is this, in terms of the lengths of its sides?

Q10:

In the following figure, 𝐵 𝐷 bisects 𝐵 . Determine the type of 𝐸 𝐵 𝐷 in terms of its side lengths.

Q11:

Determine whether 𝐵 𝐶 𝐷 is an obtuse or acute triangle.

Q12:

Is this a scalene, isosceles, or right triangle?

Q13:

What do these shapes have in common?

Q14:

Complete the following: If 𝐴 𝐵 is a chord in a circle with centre 𝑀 , then the triangle 𝐴 𝑀 𝐵 is .

Q15:

If 𝐴 𝐵 𝐶 is a triangle whose side lengths are 11 cm, 26.4 cm, and 28.6 cm and is similar to a triangle 𝑋 𝑌 𝑍 , determine the type of 𝑋 𝑌 𝑍 in terms of its angles.

Q16:

In 𝐴 𝐵 𝐶 , suppose that ( 𝐴 𝐵 ) + ( 𝐵 𝐶 ) = 7 2 . 2 5 2 2 and 𝐴 𝐶 = 8 . 5 what kind of angle is 𝐵 ?

Q17:

In a triangle 𝐴 𝐵 𝐶 , if ( 𝐴 𝐵 ) = ( 𝐵 𝐶 ) + ( 𝐴 𝐶 ) 2 2 2 , which angle is the right angle?

Q18:

What do these shapes have in common?

Q19:

Two angles in a triangle are 8 3 and 4 8 . What kind of triangle is it, in terms of its angles?

Q20:

Consider 𝐴 𝐵 𝐶 , with 𝐴 𝐵 = 9 , 𝐵 𝐶 = 1 0 , and 𝐴 𝐶 = 1 1 . What kind of triangle is this, in terms of its angles?

Q21:

If 𝐴 𝐵 = 5 c m , 𝐵 𝐶 = 8 c m , and 𝐶 𝐴 = 1 1 c m , what is the type of 𝐴 𝐵 𝐶 in terms of its side lengths?

Q22:

In the following figure, 𝐵 𝐷 bisects 𝐵 . Determine the type of 𝐸 𝐵 𝐷 in terms of its side lengths.

Q23:

In the following figure, 𝐵 𝐷 bisects 𝐵 . Determine the type of 𝐸 𝐵 𝐷 in terms of its side lengths.

Q24:

What type of triangle is 𝐴 𝐵 𝐶 , in terms of its side lengths?

Q25:

What is the kind of triangle that the points 𝐴 ( 2 , 2 ) , 𝐵 ( 4 , 9 ) , and 𝐶 ( 7 , 9 ) form with respect to its sides?

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