Triangle (Int./Ext. Angle), Inequalities & Pythagorean Theorem

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

What are the interior angles of a triangle?

Back

The interior angles of a triangle are the angles formed inside the triangle, and their sum is always 180 degrees.

Front

What is the Pythagorean Theorem?

Back

Front

How do you determine if a triangle with sides 15, 12, and 9 exists?

Back

Check if the sum of any two sides is greater than the third side: 15 + 12 > 9, 15 + 9 > 12, and 12 + 9 > 15. All conditions are satisfied, so the triangle exists.

Front

Can a triangle have sides of lengths 3, 4, and 9?

Back

No, because 3 + 4 is not greater than 9, violating the Triangle Inequality Theorem.

Front

What is the formula to find the area of a triangle?

Back

Front

What is the relationship between the angles in a triangle?

Back

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

Front

What is a right triangle?

Back

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

Front

How do you find the length of the hypotenuse in a right triangle?

Back

Front

What is an exterior angle of a triangle?

Back

An exterior angle of a triangle is formed by one side of the triangle and the extension of an adjacent side. The measure of an exterior angle is equal to the sum of the two opposite interior angles.