Answer:
Options A, D
Step-by-step explanation:
The way that we will be checking if these 3 numbers can represent a triangle is by checking if a + b ≥ c. That means that the first two sides have to be greater than or equal to the third side.
Step 1: Determine if Option A is a triangle
10 + 16 = 26 <- 26 is less than 27 that means that it cannot form a triangle.
Step 2: Determine if Option B is a triangle
14 + 28 = 42 <- 42 is greater than 39 which means that these three numbers can form a triangle.
Step 3: Determine if Option C is a triangle
12 + 27 = 39 <- 39 is equal to 39 which means that these three numbers can form a right triangle.
Step 4: Determine if Option D is a triangle
8 + 22 = 30 <- 30 is less than 31 meaning that these three numbers can't form a triangle.
Answer: Options A, D
