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Triangle TAB has a perimeter of 40 cm. Could the measures of the sides, as shown, actually represent the measures of the sides of a triangle? Justify your answer.

Triangle TAB has a perimeter of 40 cm Could the measures of the sides as shown actually represent the measures of the sides of a triangle Justify your answer class=

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Answer:

NO

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side. And this MUST true for ALL combinations

12 +8    IS NOT greater than 20

4x +2x+2 +x+3 = 40

7x +5=40

7x =3 5

x=5

side 4x  =  20

side x+3 = 8

side 2x+2 = 12

            20 +8 is bigger than 12

             20+12 is   bigger than 8

             12 + 8  IS NOT BIGGER than 20  (it's just the same)

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