Question

Find the range for the measurement of the third side of a triangle, x, given the measures of the two sides: 6 ft and 13 ft.

Answer 1

Triangle Inequality Theorem:
One side of a triangle is less than the sum of the lengths of the other two.

You can show from that statement that the side in question is also greater than the positive difference of the other two.

In your case, (13-6) < x < ? @KaylaRose98

Answer 2

wait are you saying 7<x<19

Answer 3

6<x+13 , 13< x+6 , x<6+13

-7<x , 7<x , x<19

the first one is true so ignore it
we get
7<x , x<19

7<x<19

Answer 4

>wait are you saying 7<x<19

7<x<19 is the range of values for the third side of the triangle.

Answer 5

19 ft < x < 7 ft
20 ft > x > 8 ft
19 ft > x > 7 ft
19 ft x 7 ft

Answer 6

those were the options to the question

Answer 7

yes directriz m i wrong?

Answer 8

so C right?

Answer 9

Does this not look familiar: 19 ft > x > 7 ft
@KaylaRose98

Hint: If 4 < 5, then another way to say that is to write: 5 > 4.

Answer 10

i let it to u directriz bye

Answer 11

@julian25 I don't know because you wrote some stuff down with no verification or explanation.

I am not saying what you wrote is wrong. I just didn't get what this means: the first one is true so ignore it
>yes directriz m i wrong?

Answer 12

i meant this is true -7<x

Answer 13

@KaylaRose98

so C right?

Yes.

19 ft > x > 7 ft
says the same as
7<x<19

Answer 14

ohhh sorry i must say -7<x makes no sense

Answer 15

i agree the C is right

Answer 16

So, we all agree. Right?

Answer 17

all right.

A triangle with sides lengths 7, 9 and 11 is a right triangle.
True or false?

Answer 18

yes we all agree:)

Answer 19

@julian25 >>i must say -7<x makes no sense
Well, it is a true statement.

To say that the third side is greater than the positive difference of the other two sides is more restrictive.

Answer 20

Good discussion among the three of us. I enjoyed it.

Answer 21

well let do the another i know that i make a mistake in that part

Answer 22

i think that the answer is no because in a triangle rectangle the piyagorean equation must be true

Answer 23

@julian25

Find the range for the measure of the third side of a triangle given the measures of two sides.
1. 5 and 9

Answer 24

in this case 7^2 + 9^2 is diferent that 11^2

Answer 25

>>in this case 7^2 + 9^2 is diferent that 11^2

This work looks as if you are testing for a right triangle.

Answer 26

but that is the question she says

A triangle with sides lengths 7, 9 and 11 is a right triangle.
True or false?

Answer 27

yes you are right, it is false.

Answer 28

well so it is done???
so take care

Answer 29

@julian25 I thought you were answering this question I posted:
Find the range for the measure of the third side of a triangle given the measures of two sides.
1. 5 and 9

I did not see a second question posted in this thread by @KaylaRose98

Answer 30

thank you both:) take care too.