Answer :
Answer: No, a triangle is not possible in this case
Why not? Because the two sides 6 and 6 add to 6+6 = 12, which does not exceed the remaining side.
Refer to the triangle inequality theorem. This theorem says that for a triangle to be possible, we need these three facts to be true
- a+b > c
- b+c > a
- a+c > b
where a,b,c are the three sides of the triangle. In short: adding any two sides must be larger than the third side.
I recommend cutting out slips of paper to try making a triangle with sides 12,6, and 6. You'll find its not possible. The two smaller sides combine to perfectly line up with the larger side. The three sides form a line and not a triangle.