# Lesson Worksheet: Inequalities in One Triangle Mathematics

In this worksheet, we will practice recognizing the properties of inequalities and their relation to the sides of a triangle and implementing them on the measures of its angles.

**Q1: **

Complete the following using , , or : If, in the triangle , , then .

- A
- B
- C

**Q2: **

Suppose that, in triangle , , , and . Arrange the measures of the angles in descending order.

- A
- B
- C
- D

**Q3: **

Suppose that, in triangle , , , and . Arrange the measures of the angles in ascending order.

- A
- B
- C
- D

**Q4: **

In a triangle where , which angle has the same measure as ?

- A
- B

**Q5: **

Use , , or to fill in the blank: If , then .

- A
- B
- C

**Q6: **

Use , , or to complete the following: If , then .

- A
- B
- C

**Q7: **

Arrange the measures of the angles of triangle in ascending order, given that , , and .

- A
- B
- C
- D

**Q8: **

Arrange the sides , , , and in decreasing order of length.

- A, , ,
- B, , ,
- C, , ,
- D, , ,
- E, , ,

**Q9: **

In the figure, and . Which of the following is true?

- A
- B
- C
- D
- E

**Q10: **

Which of the following inequalities describes the angles of triangle ?

- A
- B
- C
- D
- E