Triangle Inequalities

Front

What is the Triangle Inequality Theorem?

Back

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

Front

If two sides of a triangle are 8 and 15, what is the range of possible lengths for the third side?

Back

7 < x < 23

Front

Can a triangle be formed with side lengths 5, 5, and 10?

Back

No, because 5 + 5 is not greater than 10.

Tags

CCSS.7.G.A.2

Front

What is the minimum length of the third side if two sides are 3 and 4?

Back

The minimum length is 2 (3 - 4 < x).

Front

What is the maximum length of the third side if two sides are 6 and 10?

Back

The maximum length is 15 (6 + 10 > x).

Front

If one side of a triangle is 7, and the other two sides are 3 and x, what is the range for x?

Back

x must be greater than 4 and less than 10 (4 < x < 10).

Front

Which of the following sets of lengths can form a triangle: 2, 3, 6?

Back

No, because 2 + 3 is not greater than 6.

Tags

CCSS.7.G.A.2

Front

What is the relationship between the sides of a triangle?

Back

The sum of the lengths of any two sides must be greater than the length of the third side.

Front

If two sides of a triangle are 5 and 12, what is the range of possible lengths for the third side?

Back

7 < x < 17

Front

Can a triangle be formed with side lengths 8, 15, and 20?

Back

Yes, because 8 + 15 > 20.

Tags

CCSS.7.G.A.2