Please help me with these geometry questions.

Question

If the sides of a triangle are 20, 27, and n. Write an inequality that expresses the intervals of values that n might have.

a. 7 < n < 47

b. 7 < or = n < or = 47

c. -7 < n < 47

d. -7 < n < 7

What conjecture can you make about the 12th figure in this pattern? AA BB AA CC

a. AA

b. BB

c. CC

d. There is not enough information about this conjecture.

Answer 1

a is correct

the difference of 2 sides is less than the 3rd side which is less than the sum of the other 2 sides

7< n < 47

b might be considered correct if you counted "degenerate" triangles as triangles, but when 7=n or 47 = n, the triangle collapses into a straight line, with angles 0, 0, and 180 degrees