Ex 5.6

Chapter 5 Class 6 Understanding Elementary Shapes
Serial order wise

### Transcript

Ex 5.6, 4 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 To make a triangle, We need 3 sides Sum of two sides > Third side (a) 3 matchsticks? 1st side = 1 2nd side = 1 3rd side = 1 One matchstick makes each side. So, all sides are equal ∴ It is an equilateral triangle. (b) 4 matchsticks? 1st side = 1 2nd side = 1 3rd side = 2 Now, 1st side + 2nd side = 1 + 1 = 2 > 2 ∴ Sum of two sides > Third side So, triangle is not possible. (a) 5 matchsticks? 1st side = 2 2nd side = 2 3rd side = 1 So, two sides are equal ∴ It is an isosceles triangle. (a) 6 matchsticks? 1st side = 2 2nd side = 2 3rd side = 2 So, all 3 sides are equal ∴ It is an equilateral triangle.

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#### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.