Could 8.8 cm, 8.0 cm and 8.8 cm be the side lengths of a triangle?Choose 1 answer:(Choice A)Yes(Choice B)No

Answer:yes it is possible to have a triangle with 8.8 cm, 8.0 cm and 8.8 cm.Step-by-step explanation:Condition on sides of triangle:The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. It is not possible to have sum to be less than the length of the third side. A triangle with three given positive side lengths exists if and only if those side lengths satisfy the given conditionLet a, b and c be three sides of triangle.[tex]a + b > c\\a+c>b\\b+c>a[/tex]Here, we are given that a = 8.8 cm, b = 8.0 cm, c = 8.8 cmWe check for the triangular inequality:[tex]1.~8.8 + 8.0 > 8.8\\16.8>8.8\\2.~8.8+8.8>8.0\\17.6>8.0\\3.~8.0+8.8>8.8\\16.8>8.8[/tex]Thus, yes it is possible to have a triangle with given measurements.