Lesson: Inequality in One Triangle: Side Comparison Mathematics • Second Year of Preparatory School

Students will be able to

• understand that, in a triangle, when two angles have unequal measures, the side opposite the larger angle is larger than the side opposite the smaller angle,
• form inequalities involving the lengths of the sides in a triangle by comparing the measures of the angles opposite each side,
• understand that in a right triangle, the hypotenuse is the longest side,
• understand that the perpendicular line segment drawn from one side of a triangle to the opposite vertex is shorter than any other line segment drawn from the same side to the same vertex,
• prove given inequalities about lengths of sides in triangles using the opposite angles and the axioms of inequalities.