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