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Ilia_Sergeevich [38]
3 years ago
6

Which of the following sets of numbers could not represent the three sides of a triangle?

Mathematics
2 answers:
maw [93]3 years ago
7 0

Answer:

It would be {10, 16, 27}, {12, 27, 39}, {8, 22, 31} that DO NOT represent 3 sides of a triangle

Step-by-step explanation:

Since the only answer where the first 2 numbers is greater than the 3rd/last number is {14, 28, 39} (which makes it the only traingle), the others would ALL NOT be triangles.

earnstyle [38]3 years ago
4 0

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.

<u>Step 1:  Determine if Option A is a triangle</u>

10 + 16 = 26    <-    26 is less than 27 that means that it cannot form a triangle.

<u>Step 2:  Determine if Option B is a triangle</u>

14 + 28 = 42    <-    42 is greater than 39 which means that these three numbers can form a triangle.

<u>Step 3:  Determine if Option C is a triangle</u>

12 + 27 = 39    <-    39 is equal to 39 which means that these three numbers can form a right triangle.

<u>Step 4:  Determine if Option D is a triangle</u>

8 + 22 = 30    <-    30 is less than 31 meaning that these three numbers can't form a triangle.

Answer: Options A, D

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