Three matchsticks are needed to form a triangle. If there are 15 matches, only 3 triangles can be formed.
A boy took a few matchsticks and started making triangles with it. Three matchsticks were required for making a single triangle and six for making two and so on. He finished the entire match box in making triangles.Which of the following gives the number of matchsticks if the number of triangles formed is n?
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, think of reasons for it.