Question 1:
Add all the ratio numbers.
2+6+7=15
Now, divide that from 45, which is the given perimeter
45/15=3
Now, multiply the whole ratio by 3.
6:18:21
The shortest side is 6 inches.
Question 2:
Add all the ratio components.
17+16+12=45
Divide that by 180, the total degrees in a triangle.
180/45=4
Multiply that with 17 (largest ratio component).
You get 68, which is your answer.
Question 3:
(2x+7)/(3x-4) = 11/2
This proportion is quite simple and can be solved by setting the numerator equal to the numerator and the denominator equal to the denominator.
2x+7=11
3x-4=2
If you solve both of these, the value of x is 2.
That's your answer.
(Note: this is only a special case where you can do this)
Hope this helps! :)
