Question

Triangle inequality theorem-are the lengths 7, 4, and 2 of a triangle possible?

Answer 1

YES!!!!!

Explanation:

BASICS:

Pythagorean Theorem
`a^(2) +b^(2) = c^(2)`

SETTING IT UP:

The smallest numbers are A and B.

`4^(2) +2^(2) =7^(2)`

SIMPLIFY:

16+4=21

This is not true, but we know that its OK because the answer is greater than the equation.

Answer 2

You can't make a triangle with those lengths for sides.

The way I look at it is like this:

-- Take 2 sticks ... lengths 4 and 2 ... and connect them together at one end.

-- The farthest they can reach, if they're opened up completely and pointing
in opposite directions, is a distance of 6 .

-- They can't reach the ends of a stick that is 7 long. So you can't make
a triangle with those 3 sticks.