Unit 4 Day 9 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

Does a triangle with side lengths 15, 12, and 9 exist?

Back

Yes, because 15 + 12 > 9, 15 + 9 > 12, and 12 + 9 > 15.

Tags

CCSS.7.G.A.2

Front

Can the sides of a triangle have lengths 3, 4, and 9?

Back

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

Tags

CCSS.7.G.A.2

Front

Order the sides from LARGEST to SMALLEST: 5, 7, 3

Back

7, 5, 3.

Tags

CCSS.1.MD.A.1

Front

Which set of numbers may represent the lengths of the sides of a triangle? {2,5,9}, {6,6,7}, {6,4,2}, {7,8,1}

Back

{6,6,7} because it satisfies the triangle inequality.

Front

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

Back

The possible third side must be less than 17 (13 + 4) and greater than 9 (13 - 4). Possible lengths include 12.

Front

What is the minimum length of a side in a triangle with sides 8 and 10?

Back

The minimum length must be greater than 2 (10 - 8).

Front

If two sides of a triangle are equal, what type of triangle is it?

Back

It is an isosceles triangle.

Tags

CCSS.4.G.A.2

Front

What is the maximum length of a side in a triangle with sides 5 and 7?

Back

The maximum length must be less than 12 (5 + 7).

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.