# 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.

Q1:

Which is the correct relationship between and ? • A
• B
• C

Q2:

From the figure below, determine the correct inequality from the following. • A
• B
• C
• D

Q3:

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

• A
• B
• C

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