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Can 2, 3 and 4 make a triangle

Step by step, with the reason for every step · Can it make a triangle · Geometry

Step by step

The question

Question: can sides of 2, 3 and 4 make a triangle?

sides 2, 3, 4

For a triangle, the two short sides together must be longer than the longest side.

Else they cannot meet.

the two short sides must reach
round the longest one

1 Add the two short sides

The longest side is 4.

We lay it down first.

The two short sides are 2 and 3.

Together: 5.

= 2 + 3 = 5

2 Compare with the longest

Swing them up from the ends.

5 is more than 4, so they meet at the top.

So yes: they make a triangle.

= 5 > 4 → yes, a triangle

3 Check

Let's check the other two pairs: 2 plus 4 is 6, and 3 plus 4 is 7.

Both are more than the third side.

So only the short pair decides.

So the answer is right!

2 + 4 = 6 > 3, 3 + 4 = 7 > 2

Let's look back.

First: add the two short sides.

Then: compare with the longest.

Last: check.

Answer
= 5 > 4 → yes, a triangle

Your turn

Try this one yourself, then check:

sides 16, 9, 9
Show the answer
yes

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