# Worksheet: Inequality in One Triangle: Angle–Side

In this worksheet, we will practice identifying the relationships between angles and side lengths in a triangle to deduce the inequality in one triangle.

**Q4: **

Given , , and , choose the correct relationship between and .

- A
- B
- C

**Q5: **

Choose the correct relationship between and .

- A
- B
- C

**Q6: **

Use , , or to fill in the blank: .

- A
- B
- C

**Q7: **

Use , , or to fill in the blank: .

- A
- B
- C

**Q8: **

Use , , or to complete the sentence: If is a triangle and a point lies outside the triangle, then .

- A
- B
- C

**Q9: **

Which of the following is true?

- A
- B
- C

**Q10: **

Use , , or to fill in the blank:

- A
- B
- C

**Q11: **

Which inequality is satisfied by this figure?

- A
- B
- C
- D
- E

**Q12: **

Arrange the side lengths of in descending order.

- A
- B
- C
- D
- E

**Q13: **

Use , , or to fill in the blank: .

- A
- B
- C

**Q14: **

List the sides of from shortest to longest.

- A
- B
- C
- D
- E

**Q15: **

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

- A
- B
- C

**Q16: **

Use , , or to complete the following: In a triangle , if is any point on , then .

- A
- B
- C

**Q17: **

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

- A
- B
- C

**Q18: **

Use , , or to fill in the blank: .

- A
- B
- C

**Q19: **

Use , , or to complete the statement: If , , and , then .

- A
- B
- C

**Q20: **

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

- A
- B
- C

**Q21: **

Use , , or to complete the statement: If and , then .

- A
- B
- C

**Q22: **

Is ?

- A
- B
- C

**Q23: **

Arrange , , , in ascending order according to their lengths.

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

**Q24: **

Choose the correct relationship between and .

- A
- B
- C

**Q25: **

Complete the following using , , or : .

- A
- B
- C