Try to construct triangles using match sticks some are shown here can you make a triangle with
a) 3 matchsticks b) 4 matchsticks c) 5 matchsticks d) 6 matchsticks
A triangle is defined as a closed figure made with 3 line segments that form the shape of a triangle.
Answer: We can make triangles with 3, 5, and 6 match sticks.
We will use the triangle inequality theorem to answer this question.
Look at the below image of how to construct triangles with match sticks.
3 match sticks: One match stick makes one side. So all sides are equal. This will form an equilateral triangle.
4 match sticks: The sum of two sides should be greater than the third side, that is,1 + 1 > 2. Triangle is not possible
5 match sticks: Two sides are equal. The sum of the two sides should be greater than the third side, that is, 2 + 2 > 1. This will form an isosceles triangle.
6 match sticks: All sides are equal. This will form an equilateral triangle.