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2 years ago

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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