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elena-s [515]
2 years ago
13

The perimeter of a triangle is

Mathematics
1 answer:
Firlakuza [10]2 years ago
5 0

Answer:

Side\ 3 = 6x - 7

Step-by-step explanation:

Given

Perimeter = 17x - 5

Side\ 1 = 3x + 5

Side\ 2 = 8x - 3

Required

Determine the length of the third side

The perimeter of a triangle is calculated as thus:

Perimeter = Side\ 1 + Side\ 2 + Side\ 3

Substitute values for Perimeter, Side 1 and Side 2

17x - 5 = 3x + 5 + 8x - 3 + Side\ 3

Collect Like Terms

17x - 5 = 3x + 8x + 5 - 3 + Side\ 3

17x - 5 = 11x + 2 + Side\ 3

Solve for Side 3

Side\ 3 = 17x - 11x - 5 - 2

Side\ 3 = 6x - 7

<em>Hence, the length of the third side is 6x - 7 units</em>

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Answer:

<u>4 meters.</u> 

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