SOLUTION: the ratio of the measures of the sides of a triangle is 3:4:6, and its perimeter is 104ft. whats the measures o the sides of the triangle?

Algebra ->  Proportions -> SOLUTION: the ratio of the measures of the sides of a triangle is 3:4:6, and its perimeter is 104ft. whats the measures o the sides of the triangle?      Log On


   

Question 712815: the ratio of the measures of the sides of a triangle is 3:4:6, and its perimeter is 104ft. whats the measures o the sides of the
triangle?
Answer by jndarrell(58) About Me  (Show Source):
You can put this solution on YOUR website!
Perimeter of a triangle is the sum of all 3 sides. Take your ratio and put an 'x' next to each value and set them equal to the provided 104ft.
3x+4x+6x=104
SIMPLIFY
13x=104
DIVIDE both sides by 13 to get x alone
x=8
You're not done yet...the question asked the measures of each side. Take the value of x and plug it back into the original terms each side was labeled as:
S1: 3(8)=24ft
S2: 4(8)=32ft
S3: 6(8)=48ft
To check add all three sides and ensure they total your 104ft perimeter.
24+32+48=104
Don't forget to report your answers with the units of measurement!!