Exploring the Triangle Inequality Theorem

What is the minimum value of x for which the triangle remains non-degenerate?

• x < 4

• x >= 10

• x > 4

• x = 4

What happens to the triangle when the angle between sides of lengths 6 and 10 is reduced to zero?

• It becomes an equilateral triangle

• It becomes a degenerate triangle

• It remains unchanged

• It becomes a right triangle

Tags

CCSS.7.G.A.2

In a degenerate triangle formed by sides of lengths 6, 10, and x, what is x when the angle between sides 6 and 10 is zero?

• 16

• 6

• 10

• 4

Tags

CCSS.7.G.A.2

What is the minimum value of x that keeps the triangle non-degenerate, given the other sides are 6 and 10?

• 6

• 4

• 10

• 16

What is the maximum value of x for which the triangle does not become degenerate?

• x < 16

• x = 16

• x <= 16

• x > 16

As the angle approaches 180 degrees, what is the theoretical maximum length of x?

• 26

• 10

• 16

• 6

If x is the length of one side of a triangle, and the other sides are 6 and 10, what is the maximum value of x for a non-degenerate triangle?

• 10

• 6

• 16

• 4

According to the triangle inequality theorem, what must be true for a non-degenerate triangle?

• Any side must be less than the sum of the other two sides

• All sides must be equal

• Any side must be greater than the sum of the other two sides

• Any side must be equal to the sum of the other two sides

What is the result of subtracting 6 from both sides in the inequality 10 < 6 + x?

• x = 4

• x > 10

• x < 4

• 4 < x

Tags

CCSS.7.EE.B.4B

What does the triangle inequality theorem help to determine in a triangle?

• The color of the triangle

• The possible range for any side length

• The maximum area of the triangle

• The type of angles in the triangle