Question

the sum of any two sides of possible triangle
​

Answer 1

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The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. ... In other words, as soon as you know that the sum of 2 sides is less than (or equal to) the measure of a third side, then you know that the sides do not make up a triangle.

ᴘʟᴇᴀsᴇ ᴍᴀʀᴋ ʙʀᴀɪɴʟɪᴇsᴛ ❤️

Answer 2

Answer:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. ... In other words, as soon as you know that the sum of 2 sides is less than (or equal to) the measure of a third side, then you know that the sides do not make up a triangle.

Step-by-step explanation:

The third side must have a length greater than, but not including,

5

feet and less than, but not including,

37

feet, i.e.

5

<

c

<

37

.

Explanation:

Say the three sides of the triangle are

a

,

b

and

c

. Here,

a

=

16

and

b

=

21

. We must find the possible values of

c

.

Since

a

+

c

>

b

, we can input:

16

+

c

>

21

c

>

5

.

So the lower bound of

c

is everything above

5

.

We also know that

a

+

b

>

c

. Inputting:

16

+

21

>

c

37

>

c

Socmust be less than, but not including

37In conclusion, the side length c

must satisfy the following inequality:

5 < c <37