Triangles perimeter

Question

a triangle has a perimeter of 31 inches. the longest side is twice as long as the shortest side. the 3rd side is 3 inches longer than the shortest side. how long is each side?

Answer 1

The perimeter is the sum of the exterior sides of any closed shape.

 

 

Let the shortest side = x

Let the 3rd side = x + 3

Let the longest side = 2x

 

Set the equation for perimeter using the defined variables.

 

x + x + 3 + 2x = 31

 

 

Solve for x.

 

4x + 3 = 31

 

 

Subtract 3 on both sides of equation.

 

4x = 28

 

 

Divide both sides of equation by 4.

 

x = 7

 

 

Now we substitute this value of x into the variables to get the side lengths.

 

shortest side = 7

3rd side = 10

longest side = 14