Question

Try to construct triangles using match sticks. Some are shown here. Can you make a triangle with five matchsticks?

Answer 1

Hint: For solving this particular question ,we need to keep in our mind that we can possibly draw a triangle with five numbers of matchsticks and this particular triangle going to be an acute angle triangle with five numbers of matchsticks . We can also observe that the sum of two sides of the triangle which is made with the five number of matchsticks is greater than the third side of the triangle.

Complete step by step solution:
For making a triangle with five numbers of matchsticks . We have to see that the sum of two sides of the triangle which is made with the five number of matchsticks is greater than the third side of the triangle.
For making a triangle , we have to keep two things in mind ,
First there must be three sides only, as we know a triangle comprises three sides.
Second is sum of two sides of the triangle must be larger than the other third side of the triangle .
Let us make a triangle with five matchsticks,

Here we have $3$ side .
Length of first side is $2$ .
Length of the second side is also $2$ .
Length of the third side is $1$ .
Now the sum of any two sides of the triangle is greater than the third side .
Therefore, it is possible to make a triangle with five matchsticks .
Since two sides are equal .
Therefore , it is an isosceles triangle that is an acute angle triangle.

Note: For making a triangle , we have to keep two things in mind ,
First there must be three sides only, as we know a triangle comprises three sides.
Second is sum of two sides of the triangle must be larger than the other third side of the triangle. A triangle with two sides equal is considered an isosceles triangle and acute angle triangle.