# Worksheet: Types of Triangles Based on Sides

In this worksheet, we will practice classifying triangles as equilateral, isosceles, or scalene based on their sides.

**Q1: **

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

- Aisosceles triangles
- Bright triangles
- Cscalene triangles
- Dequilateral triangles

**Q2: **

If , , and , what is the type of in terms of its side lengths?

- Aequilateral triangle
- Bisosceles triangle
- Cscalene triangle

**Q3: **

What type of triangle is , in terms of its side lengths?

- Aequilateral triangle
- Bisosceles triangle
- Cscalene triangle

**Q5: **

In triangle , we have and . What kind of triangle is it?

- Aa scalene triangle
- Ban equilateral triangle
- Can isosceles triangle

**Q6: **

Is a scalene, isosceles, or equilateral triangle?

- Aequilateral triangle
- Bisosceles triangle
- Cscalene triangle

**Q7: **

What is the kind of triangle that the points , , and form with respect to its sides?

- Aisosceles triangle
- Bequilateral triangle
- Cscalene triangle

**Q8: **

Suppose that in , we have , , and . What kind of triangle is this, in terms of its side lengths?

- Aan equilateral triangle
- Ba scalene triangle
- Can isosceles triangle

**Q9: **

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

- Ascalene triangle
- Bisosceles triangle
- Cequilateral triangle

**Q10: **

In the following figure, bisects . Determine the type of in terms of its side lengths.

- Aequilateral triangle
- Bscalene triangle
- Cisosceles triangle

**Q11: **

Determine whether is an obtuse or acute triangle.

- Aacute
- Bobtuse

**Q12: **

Is this a scalene, isosceles, or right triangle?

- AIsosceles triangle
- BRight triangle
- CScalene triangle

**Q13: **

What do these shapes have in common?

- ABoth are right triangles.
- BBoth are isosceles triangles.
- CBoth are acute triangles.
- DBoth are obtuse triangles.
- EBoth are equilateral triangles.

**Q14: **

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

- A a scalene triangle
- B an equilateral triangle
- C an isosceles triangle

**Q15: **

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

- Aacute
- Bobtuse
- Cright

**Q16: **

In , suppose that and what kind of angle is ?

- Aacute
- Bobtuse
- Cright

**Q17: **

In a triangle , if , which angle is the right angle?

- A
- B
- C

**Q18: **

What do these shapes have in common?

- ABoth are isosceles triangles.
- BBoth are obtuse-angled triangles.
- CBoth are acute-angled triangles.
- DBoth are right-angled triangles.
- EBoth are equilateral triangles.

**Q19: **

Two angles in a triangle are and . What kind of triangle is it, in terms of its angles?

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

**Q20: **

Consider , with , , and . What kind of triangle is this, in terms of its angles?

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

**Q21: **

If , , and , what is the type of in terms of its side lengths?

- Aequilateral triangle
- Bisosceles triangle
- Cscalene triangle

**Q22: **

In the following figure, bisects . Determine the type of in terms of its side lengths.

- Aequilateral triangle
- Bscalene triangle
- Cisosceles triangle

**Q23: **

In the following figure, bisects . Determine the type of in terms of its side lengths.

- Aequilateral triangle
- Bscalene triangle
- Cisosceles triangle

**Q24: **

What type of triangle is , in terms of its side lengths?

- Aequilateral triangle
- Bisosceles triangle
- Cscalene triangle

**Q25: **

What is the kind of triangle that the points , , and form with respect to its sides?

- Aisosceles triangle
- Bequilateral triangle
- Cscalene triangle