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 two sides of a triangle are 10 and 7, what is the range of possible lengths for the third side?

Back

Front

Can a triangle be formed with side lengths 17, 9, and 30?

Back

No, a triangle cannot be formed with these side lengths because 17 + 9 is not greater than 30.

Front

What are the conditions for three lengths to form a triangle?

Back

The lengths must satisfy the Triangle Inequality: a + b > c, a + c > b, and b + c > a.

Front

What type of triangle has all sides of different lengths?

Back

A triangle with all sides of different lengths is called a Scalene triangle.

Front

What type of triangle has two equal sides?

Back

A triangle with two equal sides is called an Isosceles triangle.

Front

What is a Right Triangle?

Back

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

Front

List the types of triangles based on angles.

Back

The types of triangles based on angles are: Acute, Right, and Obtuse.

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

If the sides of a triangle are 5, 12, and 13, is it a right triangle?

Back

Yes, it is a right triangle because 5^2 + 12^2 = 13^2.