# Worksheet: Types of Triangles

Q1:

If , , and , what is the type of in terms of the measures of its angles?

• Aobtuse triangle
• Bright triangle
• Cacute triangle

Q2:

If , , and , what is the type of in terms of the measures of its angles?

• Aobtuse triangle
• Bright triangle
• Cacute triangle

Q3:

If , , and , what is the type of in terms of the measures of its angles?

• Aobtuse triangle
• Bright triangle
• Cacute triangle

Q4:

Suppose that, in , cm, , and . What kind of triangle is this, in terms of its angles?

• AIt is an obtuse triangle.
• BIt is a right triangle.
• CIt is an acute triangle.

Q5:

Given that is a rhombus in which and , what type of triangle is , in terms of its angles?

• Aa right triangle
• Ban obtuse triangle
• Can acute triangle

Q6:

In triangle , . What type of angle is ?

• Aacute
• Bobtuse
• Cright

Q7:

In triangle , . What type of angle is ?

• Aright
• Bobtuse
• Cacute

Q8:

In triangle , . What type of angle is ?

• Aright
• Bobtuse
• Cacute

Q9:

Given that is a triangle in which , determine the triangleβs type in terms of its angles without finding their measures.

• Aobtuse triangle
• Bright triangle
• Cacute triangle

Q10:

In a triangle , and . In terms of the sizes of the angles, what is the type of the triangle?

• Aacute-angled
• Bright-angled
• Cobtuse-angled

Q11:

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

• Aright triangle
• Bobtuse triangle
• Cacute triangle

Q12:

What do these shapes have in common?

• ABoth are isosceles triangles.
• BBoth are right triangles.
• CBoth are acute triangles.
• DBoth are triangles.
• E Both are equilateral triangles.

Q13:

Which of the following is true of triangle ?

• AAll its angles are acute.
• BIt is a right-angled triangle.
• CIt has an obtuse angle.

Q14:

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

• Aobtuse triangle
• Bright triangle
• Cacute triangle

Q15:

In triangle , , , and . Classify by the types of its angles, and then decide whether the center of its circumcircle is inside or outside the triangle.

• Aright triangle, on the triangle
• Bacute triangle, inside the triangle
• Cobtuse triangle, outside the triangle

Q16:

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

• A no
• B yes

Q17:

What do we call a triangle that has angles , , and ?

• Aan obtuse triangle
• Ba right triangle
• Can acute triangle

Q18:

Given that , what type of triangle is in terms of its angles?

• Aobtuse triangle
• Bright triangle
• Cacute triangle

Q19:

Suppose that and in the figure. What kind of triangle is , in terms of its angles?

• Aacute triangle
• Bright triangle
• Cobtuse triangle

Q20:

In any triangle, there are at least two angles.

• A obtuse
• B right
• C equal
• D acute

Q21:

In , , , and . What kind of angle is ?

• Aacute
• Bright angle
• Cobtuse

Q22:

A triangle has side lengths , , and . By drawing a picture or otherwise, find the size of .

• A
• B
• C
• D