Thursday- 12/5- RARE DAY- CMA M2 T1-G.5D Tri. Ineq. Practice

Front

Can the sides of a triangle have lengths 3, 8, and 9?

Back

Yes, these lengths satisfy the 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

What is the range of values the third side of a triangle with sides 4 and 13 could be?

Back

The third side must be greater than |4 - 13| and less than 4 + 13, so it must be between 9 and 17.

Front

Which of the following does not represent the lengths of the sides of a triangle: 2 cm, 6 cm, 7 cm, 5 cm, 2 cm, 5 cm, 5 cm, 5 cm, 8 cm, 3 cm, 10 cm, 15 cm?

Back

3 cm, 10 cm, 15 cm do not satisfy the triangle inequality.

Front

What is a possible third side to a triangle with side lengths of 13 and 4?

Back

12 is a possible length for the third side.

Front

If one side of a triangle is 10 and the other is 5, what is the range of possible lengths for the third side?

Back

The third side must be greater than |10 - 5| = 5 and less than 10 + 5 = 15, so it must be between 5 and 15.

Front

What is the minimum length of the third side of a triangle with sides 7 and 3?

Back

The minimum length must be greater than |7 - 3| = 4.

Front

What is the maximum length of the third side of a triangle with sides 8 and 6?

Back

The maximum length must be less than 8 + 6 = 14.

Front

Can a triangle have sides of lengths 1, 2, and 3?

Back

No, because 1 + 2 is not greater than 3.

Front

What is the triangle inequality condition for sides a, b, and c?

Back

a + b > c, a + c > b, b + c > a.