# Worksheet: Types of Triangles: Angles

In this worksheet, we will practice classifying triangles as acute, right, or obtuse by considering the size of their angles.

**Q3: **

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

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

**Q4: **

In triangle , . What type of angle is ?

- Aacute
- Bright
- Cobtuse

**Q5: **

In triangle , . What type of angle is ?

- Aobtuse
- Bright
- Cacute

**Q6: **

In triangle , . What type of angle is ?

- Aright
- Bacute
- Cobtuse

**Q7: **

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

- Aobtuse-angled
- Bacute-angled
- Cright-angled

**Q8: **

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

- Aobtuse-angled triangle
- Bacute-angled triangle
- Cright-angled triangle

**Q9: **

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

- Aacute-angled triangle
- Bobtuse-angled triangle
- Cright-angled triangle

**Q10: **

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

**Q11: **

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

- Aobtuse
- Bacute
- Cright angle

**Q12: **

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

- AObtuse-angled triangle
- BAcute-angled triangle
- CRight-angled triangle

**Q13: **

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

- Aan obtuse-angled triangle
- Ban acute-angled triangle
- Ca right-angled triangle

**Q14: **

In a 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-angled triangle, on the triangle
- BAcute-angled triangle, inside the triangle
- CObtuse-angled triangle, outside the triangle

**Q15: **

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

- Ayes
- Bno

**Q16: **

In any triangle, there are at least two angles.

- Aequal
- Bobtuse
- Cacute
- Dright

**Q17: **

Can a triangle have three acute angles?

- Ano
- Byes

**Q18: **

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

- Ano
- Byes

**Q19: **

If the length of two sides of an isosceles triangle are 3 cm and 4 cm, what type of angle is the largest angle in the triangle?

- Aobtuse
- Bacute
- Cright

**Q20: **

Complete the following: Any triangle has at least acute angles.