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) If you cannot make a triangle, think of reasons for it.

Question

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) If you cannot make a triangle, think of reasons for it.

cdquestions Admin · Accepted Answer

(a) 3 matchsticks This is an acute angle triangle, and it is possible with 3 matchsticks to make a triangle because sum of two sides is greater than third side.   (b) 4 matchsticks This is a square, hence with four matchsticks we cannot make triangle. (c) 5 matchsticks This is an acute angle triangle, and it is possible to make triangle with five matchsticks, in this case sum of two sides is greater than third side.  (d) 6 matchsticks This is an acute angle triangle, and it is possible to make a triangle with the help of 6 matchsticks because sum of two sides is greater than third side.

Measure of Triangle		Types of Triangle
(i)	3 sides of equal length	(a)	Scalene
(ii)	2 sides of equal length	(b)	Isosceles right angle
(iii)	All sides are of different length	(c)	Obtuse angle
(iv)	3 acute angles	(d)	Right angle
(v)	1 right angle	(e)	Equilateral
(vi)	1 obtuse angle	(f)	Acute angle
(vii)	1 right angle with two sides of equal length	(g)	Isosceles

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) If you cannot make a triangle, think of reasons for it.

Solution and Explanation

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