triangle sides are in the ratio of 5:6:7; perimeter is 234cm; how long is each side

Question

I have to define my variables Write an equation Solve the equation.

Answer 1

Given triangle sides are in the ratio 5:6:7 and P = 234cm

Let sides are a = 5x, b = 6x, c = 7x.

Perimeter of the triangle = a+b+c = 5x+6x+7x = 18x

18x = 234

Diivide to each sideby 18.

18x/18 = 234/18

x = 13

a = 5x = 5*13 = 65

b = 6x = 6*13 = 78

c = 7x = 7*13 = 91

Sides of the given triangle are 65cm,78cm,91cm.