Question

The three sides of a triangle are n. 3n+2, and 4n - 13. If the perimeter of the triangle is 69 inches, what is the length of each side?

Separate multiple entries with a comma.

Answer 1

8, 26 and 19

Explanation:

Perimeter is the length of all sides of a polygon. It is simply the length of the boundary around a closed shape. Perimeter of a triangle = Sum of all three sides.

Hence,

`\Rightarrow` n + 3n + 2 + 4n - 13 = 69 (acc. to Q)

`\Rightarrow` n + 3n + 4n + 2 - 13 = 69

`\Rightarrow` 8n - 11 = 69

`\Rightarrow` 8n = 80

`\Rightarrow` n = 80/10

`\Rightarrow` n = 8

Length of all three sides:

• n = 8
• 3n + 2 = 3(8) + 2 = 26
• 4n - 13 = 4(8) - 13 = 19