GEOM Inequalities in Triangles

Front

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

Back

Yes, these lengths satisfy the triangle inequality theorem.

Front

Order the sides from greatest to least: 5, 7, 10

Back

10, 7, 5

Front

What is a possible third side to a triangle with side lengths of 5 and 5?

Back

The possible third side must be less than 10 and greater than 0, so 9 is a valid option.

Front

Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?

Back

5 < x < 29

Front

Do the side lengths of 4, 4, 4 form a triangle?

Back

True, they form an equilateral triangle.

Tags

CCSS.7.G.A.2

Front

What is the triangle inequality theorem?

Back

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

Front

If one side of a triangle is 8 and the other is 5, what is the maximum length of the third side?

Back

The maximum length is 12 (8 + 5 - 1).

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 minimum length of the third side if two sides are 6 and 10?

Back

The minimum length is 5 (10 - 6 + 1).

Front

Can a triangle have sides of lengths 2, 2, and 5?

Back

No, these lengths do not satisfy the triangle inequality theorem.