SOLUTION: The lengths of the sides of a triangle are in an extended ratio of 7:9:10. The perimeter of the triangle is 78 cm. What is the length of each side?

Algebra ->  Triangles -> SOLUTION: The lengths of the sides of a triangle are in an extended ratio of 7:9:10. The perimeter of the triangle is 78 cm. What is the length of each side?      Log On


   

Question 844747: The lengths of the sides of a triangle are in an extended ratio of 7:9:10. The perimeter of the triangle is 78 cm. What is the length of each side?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If we say that the longest side measures 10x cm,
the lengths of the sides, in cm are 7x , 9x and 10x .
That makes the perimeter, in cm equal to
7x%2B9x%2B10x=78
Solving
7x%2B9x%2B10x=78
26x=78
x=78%2F26
x=3
Then 7x=7%2A3=21 ,
9x=9%2A3=27 , and
10x=10%2A3=30 .
So the lengths of the sides are
highlight%2821cm%29 ,highlight%2827cm%29 , and highlight%2830cm%29 .