Llana said that she created a triangle with side lengths of 2 inches, 3 inches, and 5 inches. Is this possible? Why or why not?
we know that
The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the measure of the hird side
You only need to see that the two smaller sides are greater than the largest side
so
2+3 > 5
5 > 5 ----> is not true
that means
Is not possible created a triangle
we have that
the measure of any triangle must satisfy the triangle inequality theorem
example
If you have the length sides 3, 4 and 5
If the length sides form a triangle, must satisfy the theorem
so
3+4 > 5
7 > 5 ----> is true
that means
The given length sides (3,4 and 5) form a triangle
In your problem
we have
2,3 and 5
You only need to see that the two smaller sides are greater than the largest side
so
2+3 > 5
5 > 5 ----> is not true
that means
Not satisfy the theorem
so
Not form a triangle