SOLUTION: A triangle has sides of 3, 9, and 11. In a similar triangle the shortest side is 6 and the longest side is x. Write a proportion that models the situation. Solve the proportion f

Algebra ->  Real-numbers -> SOLUTION: A triangle has sides of 3, 9, and 11. In a similar triangle the shortest side is 6 and the longest side is x. Write a proportion that models the situation. Solve the proportion f      Log On


   

Question 719164: A triangle has sides of 3, 9, and 11. In a similar triangle the shortest side is 6 and the longest side is x. Write a proportion that models the situation.
Solve the proportion for x.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

A triangle has sides of 3, 9, and 11.
In a similar triangle, sides will be proportional to sides given above.
if in a similar triangle the shortest side is 6, it is proportional to the shortest side above which is 3
so, 6%3A3
and, if the longest side is x, it is proportional to the longest side above which is 11
so, x%3A11

then, a proportion that models the situation is: 6%3A3=x%3A11
6%3A3=x%3A11 ....solve the proportion for x
6%3A3=x%3A11...cross multiply
6%2A11=x%2A3
66=3x
66%2F3=x
22=x