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 are the conditions for three lengths to form a triangle?

Back

Three lengths can form a triangle if they satisfy the Triangle Inequality Theorem: a + b > c, a + c > b, and b + c > a.

Front

If a triangle has sides of lengths 7, 10, and 5, can it exist?

Back

Yes, because 7 + 5 > 10, 7 + 10 > 5, and 10 + 5 > 7.

Front

What is the maximum length of the third side if two sides of a triangle are 8 and 10?

Back

The maximum length of the third side is less than 18 (8 + 10).

Front

What is the minimum length of the third side if two sides of a triangle are 8 and 10?

Back

The minimum length of the third side is greater than 2 (10 - 8).

Front

Can a triangle have sides of lengths 3, 5, and 8?

Back

No, because 3 + 5 is not greater than 8.

Front

What is the definition of a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides have different lengths.

Front

What is the definition of an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

Front

What is the definition of an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length.

Front

If a triangle has angles measuring 60°, 60°, and 60°, what type of triangle is it?

Back

It is an equilateral triangle.