Question

DOES ANYONE KNOW INEQUALITIES IN TRIANGLES??

Answer 1

You'll find out when you post your question! :)

Answer 2

yes

Answer 3

can you construct a triangle that has the sides of 11, 12 , 15 cm

Answer 4

One of the requirements of the construction is that
"Sum of the length of any two sides have to be greater than the third side".
Do you think the given data satisfy this requirement?

Answer 5

I only have choices yes or no

Answer 6

Based on the requirement, do you think it is a yes or a no?

Answer 7

For example,
3,5,10
cannot be constructed because 3+5 is not greater than 10.

Answer 8

oh ok so the answer to my question is yes?

Answer 9

there is also another version of the question holdf on!

Answer 10

That is correct!

Answer 11

take aline segment=15 cm
draw an arc of 11 cm from one end and draw an other arc of 12 cm from the other end cutting the first arc. join the ends .
we get the reqd triangle.

Answer 12

2 sides of the triangle has legths 5 and 16.. describe the possible lengths of the third side

5<x<16
5<x<21
11<x<21
or
16<x<21

Answer 13

@mathmate

Answer 14

The three conditions are:
5+x>16
16+x>5
16+5>x

Answer 15

Since we know that 16>5, so the middle condition is not useful and can be discarded.
So can you find the maximum and minimum value of x?

Answer 16

what is > <

Answer 17

> means greater than
and
< means less than.

Answer 18

If 5+x is greater than 16, what is the smallest possible value for x?

Answer 19

10

Answer 20

10+5=15 is still less than 16. Try again!

Answer 21

im so confused

Answer 22

If x=11, then 5+x=16,
so if x is greater than 11, then 5+x would be greater than 16, does that make sense?

Answer 23

kinda

Answer 24

So can you now work on the other inequality?
16+5 is greater than x

Answer 25

I think

Answer 26

So can you interpret the inequality in words?

Answer 27

The left hand side says 15+6 which evaluates to 21.
If 21 is greater than x, then x is less than 21, right?
so can you now summarize the answer, such that x is greater than a number, and smaller than another?

Answer 28

i tried it on ither problems and i got them all wrong

Answer 29

What did you try?

Answer 30

Exactly what does the question expects as answers?

Answer 31

18m and 23m

5<x<18
5<x<23
5<x<41
18<x<23

Answer 32

Sorry to hear that, either the answers do not correspond to the question (two sides of 5 and 16) or the answers are not correct.

Answer 33

So the question is for 18 and 23 ?

Answer 34

All this time I was working on
"2 sides of the triangle has legths 5 and 16.. describe the possible lengths of the third side".

Answer 35

To make life easier, you only have bracket the third side between the sum and difference of the two other sides.
So for 5 and 16, you would put
16-5<x<16+5, or 11<x<21
What would you put for 18 and 23?