Given that those lines are parallel they will form similar traingles. This means the lengths of the sides of the triangles will be proportional through a ratio.
Find the ratio: divde the given small side by the given big side(they must be the same sides of the triangles though)
For example:
I found the ratio by dividing 8 / (20) and simplify to 2/5
Next step: multiply 22 by the fraction to get "y"
[tex] \frac{y}{22} = \frac{2}{5} [/tex]
22*[tex] \frac{2}{5} [/tex]= y
y=8.8 units
To find x :
Step 1: write an equation for the length of side US.
US= 5+x-2= x+3
Step 2: DIVIDE 5 by the ratio (must divide to get longer side DO NOT multiply)
US= 5/(2/5)= 12.5 units
Step 3: set the expression you found for US equal to 12.5
12.5= x+3
subtract 3 from both sides to isolate x.
x= 9.5 units
My answers:
x= 9.5 units
y= 8.8 units
