Question

1. List three examples of lengths of three segment that could not form a triangle. Give reasons for your answers.



2. List three examples of the lengths of three segments that can form a triangle. Give reasons for your answer.

Answer 1

@ganeshie8

Answer 2

OK, lets work out teh lengths that cannot form a triangle

Answer 3

they will look like below :-

Answer 4

if you see, the third side cannot quite make it reach the first side.

Answer 5

first get this visual picture, then we can work the lengths easily

Answer 6

I get that they can't reach..

Answer 7

its okay :) they may be teaching other things, they wont be having time for everything

Answer 8

you can easily see that, length of other two sides MUST always be greater than the middle side. then oly, they form a triangle

Answer 9

.okay..

Answer 10

those two side lengths MUST be greater than the middle side length. for it to make a triangle. else the two sides will be dangling like that...

Answer 11

having that knowledge, pick any 3 numbers.

Answer 12

such that, sum of any two numbers MUST be greater than the third number

Answer 13

lets pick 1, 2, 3 and see if they fit for a triangle or not

Answer 14

Im listening...

Answer 15

1, 2, 3 :

1+2 > 3 ? (NO, so reject)

Answer 16

lets pick some other numbers : 2, 2, 3

Answer 17

2, 2, 3 :

2+2 > 3 ? (yes)
2+3 > 2 ? (yes)
3+2 > 2 ? (yes)

so 2, 2, 3 form a triangle.

Answer 18

lets do one more which have all 3 numbers different : 3, 4, 5