# 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.

**Solution:**

We will use the properties of triangles and types of triangles to solve this.

(a) Using 3 matchsticks, we can make an equilateral triangle, where sum of any 2 sides is greater than the third side.

(b) Using 4 matchsticks, we cannot make a triangle since the sum of the lengths of any two sides of a triangle has to be greater than the third side.

(c) Using 5 matchsticks, we can make an acute-angle isosceles triangle.

(d) Using 6 matchsticks, we can make an acute-angled equilateral triangle where sum of any 2 sides is greater than the third side.

NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.6 Question 4

## Try to construct triangles using matchsticks. 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.

**Summary:**

(a) Using 3 matchsticks we can make an equilateral triangle. (b) Using 4 matchsticks we cannot make a triangle. (c) Using 5 matchsticks we can make an isosceles triangle. (d) Using 6 matchsticks we can make an equilateral triangle.

**☛ Related Questions:**

- Study The Diagram The Line L Is Perpendicular To Line M A Is Ce Eg B Does Pe Bisects Cg C Identify Any Two Line Segments For Which Pe Is The Perpendicular Bisector
- Name The Types Of Following Triangles Triangle With Lengths Of Sides 7 Cm 8 Cm And 9 Cm B Abc With Ab 87 Cm Ac 7 Cm And Bc 6 Cm C Pqr Such That Pq Qr Pr 5 Cm
- Match The Following Measure Of Triangle Type Of Triangle I 3 Sides Of Equal Length A Scalene Ii 2 Sides Of Equal Length B Isosceles Right Angled Iii All Sides Are Of
- Name Each Of The Following Triangles In Two Different Ways You May Judge The Nature Of The Angle By Observation

visual curriculum