Triangle Inequality

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

If side lengths are a, b, and c, what must be true for a triangle to exist?

Back

a + b > c, a + c > b, and b + c > a must all be true.

Front

Can a triangle be formed with side lengths 4, 7, and 10?

Back

Yes, because 4 + 7 > 10, 4 + 10 > 7, and 7 + 10 > 4.

Front

Which of the following lengths cannot represent the sides of a triangle: 28, 30, 58?

Back

28, 30, and 58 cannot represent the sides of a triangle because they do not satisfy the Triangle Inequality Theorem.

Front

What type of triangle has all sides of equal length?

Back

An Equilateral triangle.

Front

What type of triangle has one angle greater than 90 degrees?

Back

An Obtuse triangle.

Front

What is an Isosceles triangle?

Back

An Isosceles triangle has at least two sides of equal length.

Front

What is a Scalene triangle?

Back

A Scalene triangle has all sides of different lengths.

Front

Identify the triangle type: A triangle with angles measuring 60°, 60°, and 60°.

Back

This is an Acute Equilateral triangle.

Front

Identify the triangle type: A triangle with angles measuring 100°, 40°, and 40°.

Back

This is an Obtuse Isosceles triangle.