Question

Find possible length of third side of triangle.

Answer 1

Following three statements must be true.
5 + x > 9
So, x > 4

5 + 9 > x
So, 14 > x

x + 9 > 5
So, x > -4

Answer 2

Can someone explain the statements given

Answer 3

the sum of two sides of a triangle must be greater than the third

Answer 4

this is a principle in triangles...

if you take 5 and x as two sides...the sum of this must be greater than 9

5+x> 9
x > 9 - 5
x> 4

Answer 5

then take 5 and 9 as two sides...the sum must be greater than the third side which is x so

9 + 5 > x
14 > x

Answer 6

well what you wrote boils down to:

x > 4
x < 14

which means 4 < x < 14 (x is greater than 4, but less than 14)

you also have x > -4, but that is useless knowledge because we know x is greater than 4 already.

Answer 7

now take 9 and x as two sides...5 would be the third

x + 9 > 5
x> 5 - 9
x> 4

Answer 8

x> -4*

Answer 9

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