amacdonald678
amacdonald678 amacdonald678
  • 13-10-2020
  • Mathematics
contestada

Help please

Is it possible that the lengths of the sides of a triangle are proportional to the numbers 1, 2, and 3?

Respuesta :

shamespiral22 shamespiral22
  • 19-10-2020

Answer:

No

Step-by-step explanation:

Triangular Inequalities state that in a triangle, the sides must always be less than the sum of the other two.

You would have sides x, 2x, 3x in this case and use the inequality a+b>c.

if...

a=x, b=2x, c=3x

then...

x+2x>3x

3x>3x which is false.

Therefore you cannot make a triangle with sides proportional to 1, 2, and 3.

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