5D: Triangle Inequality Theorem

The Triangle Inequality Theorem states

• Any side of a triangle must be shorter than the sum of the other two sides

• No side is ever equal to another side of the same triangle

• One side of a triangle must be larger than the other two sides combined

• Triangles cannot have equivalency with another triangle

A triangle with sides 20, 25, and x. What best defines x?

• x<20

• x<45

• X>25

• x>20

The inequality of triangle sides, A+B>C, can be rewritten as ​ or ​

• A+C>B
• B+C>A
• C+B<A
• A+B<C
• A+B=C

Any one side of a triangle must be shorter than the ___ of the other two sides.

Suppose triangle has sides 40, 30, and 80. Does this hold true to the triangle inequality theorem?

• Yes

• No

Suppose triangle has sides 20, 20, 20. Does the Triangle Inequality Theorem hold up?

• Yes

• No

A triangle has sides 5, 10, x. What best describes the value of x?

• x>10

• x<50

• x<15

• x>15

Triangle has sides 34, 86, 110. Does the Triangle Inequality Theorem hold?

• Yes

• No

Could a triangle have side lengths of 2, 3, 6?

• Yes

• No

Tags

CCSS.7.G.A.2

Can the sum of 2 sides be equal to one side?

• Yes

• No

Tags

CCSS.7.G.A.2