Triangle Inequality Theorem

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

a + b > c, a + c > b, and b + c > a.

The shortest side is the one opposite the smallest angle.

The sum of the lengths of the other two sides must be greater than 10.

The third side must be greater than |12 - 14| = 2 cm and less than 12 + 14 = 26 cm.

The largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.

Use the Triangle Inequality Theorem: For any triangle with sides a, b, and c, the following must hold: a + b > c, a + c > b, b + c > a.

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

It is a right triangle.

Compare the measures of the angles and arrange them accordingly.