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

Sagot :

AL2006idn

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.


Haydenbunny2009idn

Answer:

YES!!!!!

Step-by-step explanation:

BASICS:

Pythagorean Theorem [tex]a^{2} +b^{2} = c^{2}[/tex]

SETTING IT UP:

The smallest numbers are A and B.

[tex]4^{2} +2^{2} =7^{2}[/tex]

SIMPLIFY:

16+4=21

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

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