Unit 3 (3.5-3.7) Review

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

Can the lengths 10, 12, and 17 form a triangle?

Back

Yes, because 10 + 12 > 17, 10 + 17 > 12, and 12 + 17 > 10.

Front

Can the lengths 6, 4, and 12 form a triangle?

Back

No, because 6 + 4 is not greater than 12.

Front

Can the lengths 21, 7, and 12 form a triangle?

Back

No, because 21 is not less than the sum of 7 and 12.

Front

What is the maximum length of the third side of a triangle if two sides are 13 and 4?

Back

The maximum length of the third side is less than 17 (13 + 4).

Front

What is the minimum length of the third side of a triangle if two sides are 13 and 4?

Back

The minimum length of the third side is greater than 9 (13 - 4).

Front

If one side of a triangle is 12 and another is 5, what is a possible length for the third side?

Back

A possible length for the third side is any value between 7 and 17 (5 + 12 > x > 12 - 5).

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

What is a triangle?

Back

A triangle is a polygon with three edges and three vertices.

Front

What are the types of triangles based on side lengths?

Back

Triangles can be classified as equilateral, isosceles, or scalene based on their side lengths.