Applying Theorems on Triangle Inequalities
Triangle Inequality Theorem. This theorem states that the sum of lengths of two sides of the triangle will always be greater than the length of the third side.
A. Write the possible third side of the triangle given its two sides.
1. 3, 4, 4 2. 4, 4, 3 3. 7, 4, 7
C. Write the appropriate symbol for each based on the figure below where hinge theorem and its converse are used. Assume that the two alligators are the same.
- What is your reason for statement 2? Why?
It has two sides of a triangle are congruent, then angles opposite those sides are congruent.
- Explain how you proved CS HS
It has two triangles have two congruent sides, then the triangle with the longer third side will have a larger angle opposite that third side.
- What have you learned in the lesson?
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.
- How can you apply it to real-life situation/s?
The concepts and skills you will learn from this lesson on the axiomatic development of triangle inequalities will improve your attention to details, shape your deductive
thinking, hone your reasoning skills and polish your mathematical communication.