Question

the perimeter of a triangle is 45 ft. one side of the triangle is 2 ft longer than the second side. the third side is 4 ft longer than the second side. find the length of each side. ft (shortest side) ft ft (longest side) resources watch it ebook

Explanation:

Step1: Let the second - side length be $x$ ft.

The first side is $(x + 2)$ ft, and the third side is $(x+4)$ ft.

Step2: Set up the perimeter equation.

The perimeter of a triangle is the sum of its side - lengths. So, $(x + 2)+x+(x + 4)=45$.

Step3: Simplify the left - hand side of the equation.

Combining like terms, we get $3x+6 = 45$.

Step4: Solve for $x$.

Subtract 6 from both sides: $3x=45 - 6=39$. Then divide both sides by 3: $x=\frac{39}{3}=13$.

Step5: Find the lengths of each side.

The second side is $x = 13$ ft. The first side is $x + 2=13 + 2 = 15$ ft. The third side is $x + 4=13+4 = 17$ ft.

Answer:

13
15
17