# Grade 8 Mathematics Module: Illustrating Theorems on Triangle Inequalities

This Self-Learning Module (SLM) is prepared so that you, our dear learners, can continue your studies and learn while at home. Activities, questions, directions, exercises, and discussions are carefully stated for you to understand each lesson.

Each SLM is composed of different parts. Each part shall guide you step-by-step as you discover and understand the lesson prepared for you.

Pre-tests are provided to measure your prior knowledge on lessons in each SLM. This will tell you if you need to proceed on completing this module or if you need to ask your facilitator or your teacherâ€™s assistance for better understanding of the lesson. At the end of each module, you need to answer the post-test to self-check your learning. Answer keys are provided for each activity and test. We trust that you will be honest in using these.

Please use this module with care. Do not put unnecessary marks on any part of this SLM. Use a separate sheet of paper in answering the exercises and tests. And read the instructions carefully before performing each task.

This module will assist you learn the concept of inequalities in triangles. It focuses on how to illustrate and apply theorems on triangle inequalities. You are provided with varied tasks and activities to deepen your understanding of the lesson. This module was designed to be self-sufficient for the current learning situations. The lesson is arranged to follow the standard sequence of the course in the curriculum guide. However, the order in which you read them can be changed to correspond with the textbook you are now using.

This module contains lesson on illustrating theorems on triangle inequalities:

• Exterior Angle Inequality Theorem;
• Triangle Inequality Theorem; and
• Hinge Theorem.

After going through this module, you are expected to:

1. investigate the relationship between the longest side and the largest angle in the triangle and vice versa;

2. investigate the relationship between the sum of any two sides and the remaining sides in a triangle;

3. illustrate theorems on triangle inequalities such as the Exterior Angle Inequality Theorem, Triangle Inequality Theorem, and Hinge Theorem with its converse; and

4. connect theorems in triangle inequalities in real-life setting.

MATH8-Q4-MOD1

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