Correspondingly, how do you prove the Hinge Theorem?
To prove the Hinge Theorem, we need to show that one line segment is larger than another. Both lines are also sides in a triangle. This guides us to use one of the triangle inequalities which provide a relationship between sides of a triangle. One of these is the converse of the scalene triangle Inequality.
Similarly one may ask, what is Hinge Theorem example?
If we return to the alligator analogy, the converse of the Hinge Theorem would tell us that the wider the alligator opens his mouth (EF > BC), the larger the angle he creates at the hinge of his jaw (m∠D > m∠B). If EF > BC, then m∠D > m∠B. Examples: 1.
What is the Hinge Theorem in simple terms?
The Hinge Theorem states that if two sides of two triangles are congruent and the included angle is different, then the angle that is larger is opposite the longer side.
What is the Pythagorean converse?
The converse of the Pythagorean Theorem says that if a triangle has sides of length a, b, and c and if a^2 + b^2 = c^2 then the angle opposite the side of length c is a right angle.