Triangle Inequality Theorem

What is the Triangle Inequality Theorem primarily used to determine?

• The area of a triangle

• The angles of a triangle

• If three sides can form a triangle

• The longest side of a triangle

Tags

CCSS.7.G.A.2

If two sides of a triangle are 8 and 17, can the third side be 24?

• No

• Yes

• Only if it's a right triangle

• Only if it's an isosceles triangle

Tags

CCSS.HSG.SRT.D.11

For a set of sides 25, 12, and 35, do they form a triangle?

• Yes, always

• Insufficient information

• No, never

• Yes, if arranged properly

Tags

CCSS.7.G.A.2

What does the Triangle Inequality Theorem state about the sides of a triangle?

• The shortest side must be shorter than the difference between the other two sides

• The longest side must be longer than the sum of the other two sides

• The sum of any two sides must be greater than the third side

• The sum of any two sides must be equal to the third side

In the context of the Triangle Inequality Theorem, what does a result of 'no' indicate?

• The sides form a perfect triangle

• The sides form a right triangle

• The sides cannot form a triangle

• The sides form an isosceles triangle

Tags

CCSS.HSG.CO.C.10

What is the range of possible values for the third side if two sides of a triangle are 14 and 22?

• Less than 22

• Exactly 36 or 8

• More than 14

• Less than 36 and more than 8

Tags

CCSS.7.EE.B.4

CCSS.7.G.A.2

How can you determine the possible length of the third side given two sides of a triangle?

• By adding the two given sides

• By multiplying the two sides

• By using the sum and differences of the two sides

• By finding the average of the two sides

Tags

CCSS.7.G.A.2

Given two sides of a triangle are 28 and 31, what is the smallest possible value for the third side?

• 28

• 59

• 3

• 31

What is the significance of the inequality 'x < 36 and x > 8' in the context of triangle sides?

• It represents the possible range for the third side of a triangle

• It indicates the maximum and minimum angles of a triangle

• It shows the only two possible lengths for the third side

• It is used to calculate the area of the triangle

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

If the lengths of two sides of a triangle are 15 and 27, which of the following could NOT be the length of the third side?

• 18

• 29

• 12

• 43

Tags

CCSS.7.G.A.2