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In this lesson, we will learn how to determine the type of a triangle according to its angle.

Q1:

If π β π΄ = 5 6 β , π β π΅ = 6 6 β , and π β πΆ = 5 8 β , what is the type of β³ π΄ π΅ πΆ in terms of the measures of its angles?

Q2:

If π β π΄ = 6 3 β , π β π΅ = 3 3 β , and π β πΆ = 8 4 β , what is the type of β³ π΄ π΅ πΆ in terms of the measures of its angles?

Q3:

If π β π΄ = 6 7 β , π β π΅ = 5 7 β , and π β πΆ = 5 6 β , what is the type of β³ π΄ π΅ πΆ in terms of the measures of its angles?

Q4:

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

Q5:

Given that π΄ π΅ πΆ π· is a rhombus in which π΄ πΆ = 4 6 c m and π΅ π· = 4 0 c m , what type of triangle is β³ π΄ π΅ π· , in terms of its angles?

Q6:

In triangle π π π , ( π π ) = ( π π ) + ( π π ) 2 2 2 . What type of angle is π ?

Q7:

In triangle π΄ π΅ πΆ , ( π΄ π΅ ) = ( π΄ πΆ ) β ( π΅ πΆ ) 2 2 2 . What type of angle is πΆ ?

Q8:

In triangle π΄ π΅ πΆ , ( π΄ πΆ ) β ( π΄ π΅ ) = ( π΅ πΆ ) β 3 2 2 2 . What type of angle is π΅ ?

Q9:

Given that π΄ π΅ πΆ is a triangle in which π β π΄ βΆ π β π΅ βΆ π β πΆ = 4 βΆ 5 βΆ 6 , determine the triangleβs type in terms of its angles without finding their measures.

Q10:

In a triangle π· πΈ πΉ , π β π· = 2 6 β and π β πΈ = 1 2 π β π· . In terms of the measures of the angles, what is the type of the triangle?

Q11:

In the given figure, is a quadrilateral in which , , , and . What type of triangle is in terms of the measures of its angles?

Q12:

What do these shapes have in common?

Q13:

Which of the following is true of triangle π΄ π΅ πΆ ?

Q14:

In the figure, is a rectangle. Determine what type of triangle is, in terms of the measures of its angles.

Q15:

In triangle π΄ π΅ πΆ , π΄ π΅ = 1 0 . 6 c m , π΅ πΆ = 2 9 c m , and πΆ π΄ = 2 1 . 9 c m . Classify β³ π΄ π΅ πΆ by the types of its angles, and then decide whether the centre of its circumcircle is inside or outside the triangle.

Q16:

In an obtuse triangle, are all the angles obtuse angles?

Q17:

What do we call a triangle that has angles 8 0 β , 6 8 β , and 3 2 β ?

Q18:

Given that π΄ πΆ = 2 2 c m , what type of triangle is β³ π΄ π΅ πΆ in terms of its angles?

Q19:

Suppose that π΅ πΆ = 2 6 c m and π· πΆ = 3 8 c m in the figure. What kind of triangle is β³ π΅ πΆ π· , in terms of its angles?

Q20:

In any triangle, there are at least two angles.

Q21:

In β³ π΄ π΅ πΆ , π΄ π΅ = 9 , π΅ πΆ = 3 6 , and π΄ πΆ = 3 4 . What kind of angle is β π΄ ?

Q22:

A triangle π΄ π΅ πΆ has side lengths π΄ π΅ = 6 c m , π΅ πΆ = 8 c m , and π΄ πΆ = 1 0 c m . By drawing a picture or otherwise, find the measure of β π΄ π΅ πΆ .

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