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

Is a triangle with sides 3, 4, and 5 valid? Why?

Back

Yes, because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3.

Front

Can the lengths 1, 2, and 5 form a triangle?

Back

No, because 1 + 2 is not greater than 5.

Front

What is the result of checking the sides 5, 7, and 2 for triangle validity?

Back

No, because 5 + 2 is not greater than 7.

Front

For the sides 2, 4, and 6, can they form a triangle?

Back

No, because 2 + 4 is not greater than 6.

Front

What is the conclusion for the sides 3, 3, and 3?

Back

Yes, they can form a triangle because 3 + 3 > 3.

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 an isosceles triangle?

Back

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

Front

What is a scalene triangle?

Back

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