# Worksheet: Types of Triangles According to Their Angles

In this worksheet, we will practice determining the type of a triangle according to its angles.

**Q2: **

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

- Aobtuse-angled triangle
- Bright-angled triangle
- Cacute-angled triangle

**Q3: **

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

- Aan obtuse-angled triangle
- Ba right-angled triangle
- Can acute-angled triangle

**Q5: **

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

- Aacute-angled triangle
- Bright-angled triangle
- Cobtuse-angled 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: **

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

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

**Q10: **

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

- Aobtuse-angled triangle
- Bright-angled triangle
- Cacute-angled triangle

**Q11: **

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

- Aobtuse-angled triangle
- Bright-angled triangle
- Cacute-angled triangle

**Q12: **

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

**Q13: **

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

- Aacute
- Bright angle
- Cobtuse

**Q14: **

Which of the following is true of triangle ?

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

**Q15: **

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

- Aright-angled triangle
- Bobtuse-angled triangle
- Cacute-angled triangle

**Q16: **

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

- Aa right-angled triangle
- Ban obtuse-angled triangle
- Can acute-angled triangle

**Q17: **

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.

**Q18: **

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

- Aright-angled triangle, on the triangle
- Bacute-angled triangle, inside the triangle
- Cobtuse-angled triangle, outside the triangle

**Q19: **

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

- A no
- B yes

**Q20: **

In any triangle, there are at least two angles.

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

**Q21: **

Can a triangle have three acute angles?

- A yes
- B no

**Q22: **

Can a triangle have both a right angle and an obtuse angle?

- A no
- B yes