loxenamarz521 loxenamarz521
  • 12-10-2021
  • Mathematics
contestada

The perimeter of a
triangle is 42cm.
The sidelengths
are x,x+2 and
x+4, what is the
length of the longest
side ?

Respuesta :

towl35
towl35 towl35
  • 15-10-2021

Answer:

The longest side is 16 cm

Step-by-step explanation:

[tex]x + (x + 2) + (x + 4) = 42cm \\ x + x + 2 + x + 4 = 42cm \\ 3x + 6 = 42cm \\ 3x = 36cm \\ x = 12[/tex]

check and finish

[tex]12 + (12 + 2) + (12 + 4) = 42cm \\ 12 + 12 + 12 + 6 = 42 cm\\ 36 + 6 = 42cm \\ 42cm = 42cm[/tex]

lengths of sides

[tex]12 + 4 = 16cm \\ 12 + 2 = 14cm \\ 12cm[/tex]

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