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

Q1:

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

Q2:

In triangle π΄ π΅ πΆ , we have π β π΄ = 8 0 β and π β π΅ π β πΆ = 4 1 : : . What kind of triangle is it?

Q3:

What is the type of β³ π΄ π΅ πΆ in terms of its side lengths?

Q4:

Q5:

Q6:

If π΄ π΅ = 1 3 c m , π΅ πΆ = 6 c m , and πΆ π΄ = 9 c m , what is the type of β³ π΄ π΅ πΆ in terms of its side lengths?

Q7:

If π΄ π΅ = 5 c m , π΅ πΆ = 8 c m , and πΆ π΄ = 1 1 c m , what is the type of β³ π΄ π΅ πΆ in terms of its side lengths?

Q8:

What is the kind of triangle that the points π΄ ( β 2 , β 7 ) , π΅ ( 1 , 6 ) , and πΆ ( 9 , 6 ) form with respect to its sides?

Q9:

What is the kind of triangle that the points π΄ ( β 2 , β 2 ) , π΅ ( 4 , 9 ) , and πΆ ( 7 , 9 ) form with respect to its sides?

Q10:

Suppose that in β³ π΄ π΅ πΆ , we have π΄ π΅ = 8 . 5 , π΅ πΆ = 8 . 5 , and π΄ πΆ = 1 1 . What kind of triangle is this, in terms of its side lengths?

Q11:

Suppose that in β³ π΄ π΅ πΆ , we have π΄ π΅ = 6 , π΅ πΆ = 1 3 . 5 , and π΄ πΆ = 1 3 . 5 . What kind of triangle is this, in terms of its side lengths?

Q12:

In , we have and . What type of triangle is this, in terms of the lengths of its sides?

Q13:

Q14:

What type of triangle is β³ π΄ π΅ πΆ , in terms of its side lengths?

Q15:

Q16:

In the following figure, ο« π΅ π· bisects β π΅ . Determine the type of β³ πΈ π΅ π· in terms of its side lengths.

Q17:

Q18:

Q19:

A triangle has vertices at the points π΄ ( 4 , 2 ) , π΅ ( 6 , 2 ) , and πΆ ( 5 , β 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 π΄ π΅ πΆ ?

Q20:

Determine whether is an obtuse-angled or acute-angled triangle.

Q21:

Which of the following describes the given shape?

Q22:

What do these shapes have in common?

Q23:

Complete the following: If π΄ π΅ is a chord in a circle with centre π , then the triangle π΄ π π΅ is .

Q24:

If π΄ π΅ πΆ is a triangle whose side lengths are 11 cm, 26.4 cm, and 28.6 cm and is similar to a triangle π π π , determine the type of β³ π π π in terms of its angles.

Q25:

In β³ π΄ π΅ πΆ , suppose that ( π΄ π΅ ) + ( π΅ πΆ ) = 7 2 . 2 5 2 2 and π΄ πΆ = 8 . 5 what kind of angle is β π΅ ?

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