Question

Tell whether each set of numbers below can represent the side lengths of a triangle.

a. 7, 3, 10
b. 5, 11, 14

Answer 1

Answer is

(a) no 7 + 3 is not larger than 10

b) yes 5 + 11 is larger than 14

Reason

the Triangle Inequality Theorem states that
the sum of the lengths of two sides of a triangle must always be greater than the length of the third side

Answer 2

Represent the side lengths of a triangle B