Step by step
The question
Question: can sides of 6, 6 and 6 make a triangle?
sides 6, 6, 6
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 6.
We lay it down first.
The two short sides are 6 and 6.
Together: 12.
= 6 + 6 = 12
2 Compare with the longest
Swing them up from the ends.
12 is more than 6, so they meet at the top.
So yes: they make a triangle.
= 12 > 6 → yes, a triangle
3 Check
Let's check the other two pairs: 6 plus 6 is 12, and 6 plus 6 is 12.
Both are more than the third side.
So only the short pair decides.
So the answer is right!
6 + 6 = 12 > 6, 6 + 6 = 12 > 6
Let's look back.
First: add the two short sides.
Then: compare with the longest.
Last: check.
Answer
= 12 > 6 → yes, a triangle