Triangle Inequality theorem

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

Does the sides 8, 9, 10 make a triangle?

Back

Yes, because 8 + 9 > 10, 8 + 10 > 9, and 9 + 10 > 8.

Tags

CCSS.7.G.A.2

Front

What are the possible lengths of the third side if two sides are 8 and 5?

Back

The length of the third side must be between 3 and 13.

Front

What are the possible lengths of the third side if two sides are 6 and 15?

Back

The length of the third side must be between 9 and 21.

Front

Does the sides 3, 4, 9 make a triangle?

Back

No, because 3 + 4 is not greater than 9.

Tags

CCSS.7.G.A.2

Front

Can Mrs. Barto build a triangular pen with sides 3ft, 7ft, and 8ft?

Back

Yes, because 3 + 7 > 8, 3 + 8 > 7, and 7 + 8 > 3.

Tags

CCSS.7.G.A.2

Front

What is the minimum length of the third side if two sides are 8 and 5?

Back

The minimum length of the third side is greater than 3.

Front

What is the maximum length of the third side if two sides are 8 and 5?

Back

The maximum length of the third side is less than 13.

Front

If two sides of a triangle are 10 and 14, what is the range for the third side?

Back

The third side must be between 4 and 24.

Front

What happens if the sum of two sides is equal to the third side?

Back

If the sum of two sides is equal to the third side, the three points are collinear and do not form a triangle.