The sides of a triangle are in the ratio 3:4:5. What is the length of each side if the perimeter of the triangle is 30 cm?

Question

The sides of a triangle are in the ratio 3:4:5. What is the length of each side if the perimeter of the triangle is 30 cm?

Answer 1

Let x = scale factor

 

Use this equation.

 

3x + 4x + 5x = 30

 

 

Solve for x.

 

12x = 30

 

   x = 2.5

 

 

Multiply this value by the ratio value.

 

Smallest side = 3(2.5) = 7.5 cm

Median side = 4(2.5) = 10 cm

Hypotenuse = 5(2.5) = 12.5 cm

 

Perimeter = 7.5 cm + 10 cm + 12.5 cm

               = 17.5 cm + 12.5 cm

               = 30 cm

 

Answer 2

The sides of a triangle are in the ratio 3:4:5

 

3x+4x+5x=30

12x=30

x=30/12

 

x=2.5

 

lengths of sides are 3x=3(2.5)=7.5 cm

                             4x=4(2.5)=10 cm

                             5x=5(2.5)=12.5 cm

 

Answer 3

3x + 4x + 5x = 30

 

Can you solve for x and answer?

Answer 4

the side lengths are 3x, 4x and 5x

perimeter is the sum of the sides

3x+4x+5x=30

12x=30

x=2.5

side lengths are 7.5cm, 10cm and 12.5 cm