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In a given triangle, the largest side is 3 less than twice the length of the smaller side. The other side (that is not the smallest or largest) is 6 units longer than the shortest side. Write an expression that represents the perimeter of the triangle if x represents the length of the smallest side. (hint: label all three sides)



A: 6x – 12

B: 4x + 3

C: 3x^2 – 4x + 1

D: 3x + 6

Respuesta :

calculista

Answer:

Option B: 4x + 3

Step-by-step explanation:

Let

x ----> the length of the smallest side

y ----> the length of the largest side

z ----> the length of the other side

we know that

The perimeter of triangle is the sum of its three length sides

[tex]P=x+y+z[/tex] ----> equation A

we have that

[tex]y=2x-3[/tex] ----> equation B

[tex]z=x+6[/tex] ----> equation C

substitute equation B and equation C in equation A

[tex]P=x+(2x-3)+(x+6)[/tex]

[tex]P=4x+3[/tex]

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