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?
(Remember you have to use all the available matchsticks in each case) Name the type of triangle in each case.
If you cannot make a triangle

To do:

We have to find the type of triangle that can be made(if possible).

Solution:

(a) Yes, we can make an equilateral triangle with 3 match sticks.

(b) No, we cannot make a triangle with 4 match sticks because the sum of the lengths of any two sides of a triangle is always greater than the length of the third side.
 (c) Yes, we can make an isosceles triangle with 5 match sticks.

(d) Yes, we can make an equilateral triangle with 6 match sticks.

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Updated on: 10-Oct-2022

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