Question

A triangle has side lengths of 5k + 13, 7k + 3, and 3k - 4, write a simplified expression for the perimeter of the triangle.

Answer 1

perimeter of triangle = sum of all sides

(5+7+3)K + 13 + 3 - 4

= 15k + 12

Explanation:

Perimeter of any shape is determined by the distance round the shape.

Answer 2

Answer: P = 15k + 12

Explanation:

The formula for a triangle's perimeter is:

`\bf{Perimeter_(triangle) = a + b + c`

Where a, b and c are the sides of the triangle.

We're given all three side lengths, so, we write the equation:

`\twoheadrightarrow\sf{Perimeter_(triangle)=5k+13+7k+3+3k-4}`

`\twoheadrightarrow\sf{Perimeter_(triangle)=5k+7k+3k+13+3-4}`

`\twoheadrightarrow\sf{Perimeter_(triangle)=12k+3k+16-4}`

`\twoheadrightarrow\sf{Perimeter_(triangle)=15k+12}`

Therefore, the triangle's perimeter is 15k + 12.