Practice Problem on Triangle Inequality Theorem
Problem 1: Given a triangle with sides of lengths 5 cm, 8 cm, and 12 cm, determine whether the triangle satisfies the triangle inequality theorem.
Problem 2: Suppose you have a triangle with sides of lengths 7 inches, 10 inches, and 28 inches. Can this triangle exist?
Problem 3: Three sticks have lengths 9 cm, 15 cm, and 20 cm. Can we form a triangle using these sticks?
Triangle Inequality Theorem, Proof & Applications
Triangle Inequality Theorem is the relation between the sides and angles of triangles which helps us understand the properties and solutions related to triangles. Triangles are the most fundamental geometric shape as we can’t make any closed shape with two or one side. Triangles consist of three sides, three angles, and three vertices.
The construction possibility of a triangle based on its side is given by the theorem named “Triangle Inequality Theorem.” The Triangle Inequality Theorem states the inequality relation between the triangle’s three sides. In this article, we will explore the Triangle Inequality Theorem and some of its applications as well as the other various inequalities related to the sides and angles of triangles.
In this article, we’ll delve into the concept of triangle inequality, the triangle inequality theorem, its significance, and its practical applications.
Table of Content
- What is Triangle Inequality Theorem?
- Triangle Inequality Theorem Formula
- Triangle Inequality Theorem Proof
- Triangle Inequality Theorem – Applications & Uses
- How to Identify Triangles
- How to Find Range of Possible Values of Sides of Triangle
- Various Inequalities in Triangle
- Sample Problems on Triangle Inequality Theorem
- Practice Problem on Triangle Inequality Theorem