Inequalities in triangles

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

Which side lengths can form a triangle?

Back

For three lengths to form a triangle, they must satisfy the Triangle Inequality Theorem: a + b > c, a + c > b, and b + c > a.

Front

What is the relationship between the sides and angles of a triangle?

Back

In a triangle, the larger the angle, the longer the opposite side. Conversely, the smaller the angle, the shorter the opposite side.

Front

Can three equal lengths form a triangle?

Back

Yes, three equal lengths can form an equilateral triangle.

Front

What is the largest angle in a triangle?

Back

The largest angle in a triangle is opposite the longest side.

Front

If two sides of a triangle are equal, what type of triangle is it?

Back

It is an isosceles triangle.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

How can you determine if three lengths can form a triangle?

Back

You can determine if three lengths can form a triangle by checking if they satisfy the Triangle Inequality Theorem.

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are equal in length and all three angles are equal, each measuring 60 degrees.

Front

What is an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle greater than 90 degrees.