Triangle Inequality Property

Front

What is the Triangle Inequality Property?

Back

The Triangle Inequality Property 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

Given sides a, b, and c, what is the condition for these to form a triangle?

Back

The conditions are: a + b > c, a + c > b, and b + c > a.

Front

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

Back

Yes, this is an equilateral triangle and satisfies the Triangle Inequality Property.

Front

Can a triangle have sides of lengths 3, 4, and 5?

Back

Yes, this is a right triangle and satisfies the Triangle Inequality Property.

Front

Can a triangle have sides of lengths 1, 2, and 5?

Back

No, because 1 + 2 is not greater than 5, violating the Triangle Inequality Property.

Front

Can a triangle have sides of lengths 5, 7, and 2?

Back

No, because 5 + 2 is not greater than 7, violating the Triangle Inequality Property.

Front

Can a triangle have sides of lengths 2, 4, and 6?

Back

No, because 2 + 4 is not greater than 6, violating the Triangle Inequality Property.

Front

What is an equilateral triangle?

Back

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

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is an isosceles triangle?

Back

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