Question

The perimeter of the triangle with sides 5cm , 6cm and x cm is less than 18cm. Given that the sum of any two of the sides is always greater than the third side, find the range of values of x.

Answer 1

5 + 6 + x < 18
11 + x < 18
x<7

im not quite sure though :)

Answer 2

That's what i did and it's WRONG.

Answer 3

hmmm why?

Answer 4

answer is 1<x<7

Answer 5

how'd you get it? i dont seem to understand something about it

Answer 6

Because you and i made the same mistake, we only read the first part of the question and "ignore" the second sentence.

Answer 7

5+6+x<18
11+x<18
x<7

Answer 8

so it must be 1<x<7

Answer 9

@Sgstudent keep rocking

Answer 10

yea it must be 1<x<7

Answer 11

how did we get that?

Answer 12

so 5 +6 > x ??

Answer 13

i showed ya up there

Answer 14

why is it 1<x<7 and not x<7 ??

Answer 15

sum of three sides is less than 18
5+6+x<18
subtract 11 on both sides
x<7
now it cant be 0 or a negative integer

Answer 16

waah i dont get it T.T where'd you get the 1?

Answer 17

same here

Answer 18

where would you get the 1 sir?

Answer 19

well look if it will be less than 1 then sum of two sides wont be greater than the third side ;)

Answer 20

that's like trail and error.

Answer 21

nvm if you cant explain how did you got the 1.

Answer 22

I get it already :)

Answer 23

i think i understood it already see if the othe side is 1 then 5 + 1 would be equal to 6 right? since we need the third to be greater and not equal to the sum then we use 2 and 2 is greater than 1 so if we would put it in a situation where x = 2 then we'll get

5 + 6 + 2 < 18
13 < 18

5+6 > 2
11 >2

5+2 > 6
7>6

6 + 2 > 5
8 > 5

Answer 24

great :)

Answer 25

We must fulfill the second sentence criteria to find the range of values of x hence, the range would be 1<x<7