A triangle has one side which is 2 meters long and another side which is 5 meters long. Write a value that could be the length of the third side, in feet.

23 feet > m ; or m must be less than 23 feet.

Step-by-step explanation:

Let's call this final, or third side, m.

According to the Triangle Inequality Theorem, or the Gator Theorem - as some call it - "The sum of the lengths of any two sides of a triangle is greater than the length of the third side."

So,

So, we know that m must be less than 7 meters! However, we are NOT done. We must convert M's measurement of meters into feet.

A meter is about 3.28 feet, so using that conversion...

That is about 23 feet :)

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second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.