Question

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.

Answer 1

NO

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)