Question

120. Given the perimeter of the triangle below, find the missing side. P = 2x³+4x² + 6x +3

lo ATBB+
-3A
?
2x³ + 2x² - 4x + 6
x² + 7x-8
22 of 31
below
T.
7AT3B
-SA+B
2A+ 2

Answer 1

• x² + 3x + 5

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Perimeter is the sum of three side lengths.

Use the sum and known sides to find the missing side:

• P = 2x³ + 4x² + 6x +3

Substitute sides for P and solve for ?:

• ? + 2x³ + 2x² - 4x + 6 + x² + 7x - 8 = 2x³ + 4x² + 6x +3
• ? + 2x³ + 3x² + 3x - 2 = 2x³ + 4x² + 6x +3
• ? = 2x³ + 4x² + 6x + 3 - 2x³ - 3x² - 3x + 2
• ? = x² + 3x + 5

The missing side is x² + 3x + 5 units.