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The perimeter of a triangle is 6 p square - 43 + 9 and 2 of its sides are p square - 2 + 1 and 3 p square - 5 p + 3 find the third side of the triangle 2?
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The perimeter of a triangle is 6 p square - 43 + 9 and 2 of its sides ...
Given Information:
- Perimeter of the triangle: 6p^2 - 43 + 9
- Two sides of the triangle: p^2 - 2 + 1 and 3p^2 - 5p + 3

Finding the Third Side:
To find the third side of the triangle, we can use the formula for the perimeter of a triangle, which is the sum of all three sides.
Given:
Perimeter = 6p^2 - 43 + 9
Let the third side be x.
Therefore, the equation becomes:
(p^2 - 2 + 1) + (3p^2 - 5p + 3) + x = 6p^2 - 43 + 9
Now, simplify the equation:
p^2 - 2 + 1 + 3p^2 - 5p + 3 + x = 6p^2 - 34
4p^2 - 5p + 2 + x = 6p^2 - 34
x = 6p^2 - 34 - 4p^2 + 5p - 2
x = 2p^2 + 5p - 36

Therefore, the third side of the triangle is 2p^2 + 5p - 36.
By using the information provided about the perimeter and two sides of the triangle, we were able to calculate the third side of the triangle using the perimeter formula and the fact that the perimeter is the sum of all three sides.
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The perimeter of a triangle is 6 p square - 43 + 9 and 2 of its sides are p square - 2 + 1 and 3 p square - 5 p + 3 find the third side of the triangle 2?
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