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 – 12B: 4x + 3C: 3x^2 – 4x + 1D: 3x + 6
Accepted Solution
A:
Answer:Option B: 4x + 3Step-by-step explanation:Letx ----> the length of the smallest sidey ----> the length of the largest sidez ----> the length of the other sidewe know thatThe perimeter of triangle is the sum of its three length sides[tex]P=x+y+z[/tex] ----> equation Awe have that[tex]y=2x-3[/tex] ----> equation B[tex]z=x+6[/tex] ----> equation Csubstitute equation B and equation C in equation A[tex]P=x+(2x-3)+(x+6)[/tex] [tex]P=4x+3[/tex]