Question

If two sides of a triangle have lengths 2 and 5, which of the following could be the perimeter of the triangle?

I. 9
II. 15
III. 19
(A) None
(B) I only
(C) II only
(D) II and III only
(E) I, II, and III

Answer 1

Answer is A) None

Explanation: The triangle side rule is the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.

Two known sides sum = 7

7 ≯ 9
7 ≯ 15
7 ≯ 19

So none is the correct answer