A triangle has side lengths of 5a+3 5 a + 3 inches and 2a+3 2 a + 3 inches. If the perimeter of the triangle is 9a+12 9 a + 12 i
nches, which expression represents the lengths, in inches, of the third side of the triangle?
1 answer:
Answer:
The answer to your question is: side 3 = 2a + 6
Step-by-step explanation:
Data
Triangle
side 1 = 5a + 3 inches
side 2 = 2a + 3 inches
side 3 = ?
Perimeter = 9a + 12
Process
Perimeter = side 1 + side 2 + side 3
9a + 12 = (5a + 3) + (2a + 3) + side 3
side 3 = 9a + 12 - 5a - 3 - 2a - 3
side 3 = 2a + 6
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