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