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The perimeter of the triangle is 181 feet.

Find the length of each side given the side lengths:

1. [tex]5x[/tex] feet
2. [tex](7x + 4)[/tex] feet
3. [tex](7x + 6)[/tex] feet

The lengths of the sides are __ feet, __ feet, and __ feet. (Type integers or decimals in ascending order.)

Answer :

Final answer:

To find the length of each side of the triangle, use the fact that the perimeter of a triangle is equal to the sum of the lengths of its sides.

Explanation:

To find the length of each side of the triangle, we can use the fact that the perimeter of a triangle is equal to the sum of the lengths of its sides.

Given that the perimeter is 181 feet, we can set up the equation:

  • 5x + 7x + 4 + 7x + 6 = 181

Combining like terms, we get:

  • 19x + 10 = 181

Then, we subtract 10 from both sides:

  • 19x = 171

Finally, we divide both sides by 19 to solve for x:

  • x = 9

Substituting the value of x back into the expressions for the sides, we get:

  • Side 1: 5x = 5(9) = 45 feet
  • Side 2: 7x + 4 = 7(9) + 4 = 67 feet
  • Side 3: 7x + 6 = 7(9) + 6 = 69 feet

Therefore, the lengths of the sides are 45 feet, 67 feet, and 69 feet in ascending order.

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Rewritten by : Barada

Answer:

Information is not sufficient. BTW.. you have to show us the triangle (On the right)

Step-by-step explanation: