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Determine which of the following could make a triangle out of the given measures.A. 20, 21 and 22B. 8, 80 and 80C. 4, 40 and 50D. 3, 3, and 6

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To find the side lengths that make a triangle using the given dimensions, use the first triangle inequality theorem.

The first triangle inequality theorem states that the sum of the lengths of two sides of a triangle must be greater than the length of the third side.

Now, let's check the following:

A. 20 + 21 = 41 is greater than 22

21 + 22 = 43 is greater than 20

20 + 22 = 42 is greater than 21

Therefore, 20, 21, and 22 could make a triangle

B. 80 + 8 = 88 is greater than 80

80 + 80 = 160 is greater than 8

Therefore, 8, 80 and 80 could make a triangle

C. 40 + 50 = 90 is greater than 4

40 + 4 = 44 is less than 50

Therefore, 4, 40 and 50 would not make a triangle.

D. 3 + 3 = 6 is not greater than 6

Therefore, 3, 3 and 6 would not make a triangle

The measures given in Option A and B are correct.

ANSWER:

A. 20, 21 and 22

B. 8, 80 and 80

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