Answer:
Solving the similar triangles, we get x=10.6, y=66
Step-by-step explanation:
The triangles are similar.
We need to find the values of x and y
If the triangles are similar, the ratio of corresponding sides is equal.
So, we can write:
[tex]\frac{32}{x}=\frac{30}{10}=\frac{y}{22}[/tex]
Now, we can solve to find value of x and y
First solving to find value of x:
[tex]\frac{32}{x}=\frac{30}{10}\\Cross \:multiply\\32\times 10=30x\\320=30x\\x=\frac{320}{30}\\x=10.6[/tex]
So, we get x = 10.6
Now, finding value of y:
[tex]\frac{30}{10}=\frac{y}{22}\\Cross\:Multiply:\\30*22=10y\\660=10y\\y=\frac{660}{10}\\y=66[/tex]
So, we get y = 66
Solving the similar triangles, we get x=10.6, y=66
