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:
![\frac{32}{x}=\frac{30}{10}=\frac{y}{22}](https://tex.z-dn.net/?f=%5Cfrac%7B32%7D%7Bx%7D%3D%5Cfrac%7B30%7D%7B10%7D%3D%5Cfrac%7By%7D%7B22%7D)
Now, we can solve to find value of x and y
First solving to find value of x:
![\frac{32}{x}=\frac{30}{10}\\Cross \:multiply\\32\times 10=30x\\320=30x\\x=\frac{320}{30}\\x=10.6](https://tex.z-dn.net/?f=%5Cfrac%7B32%7D%7Bx%7D%3D%5Cfrac%7B30%7D%7B10%7D%5C%5CCross%20%5C%3Amultiply%5C%5C32%5Ctimes%2010%3D30x%5C%5C320%3D30x%5C%5Cx%3D%5Cfrac%7B320%7D%7B30%7D%5C%5Cx%3D10.6)
So, we get x = 10.6
Now, finding value of y:
![\frac{30}{10}=\frac{y}{22}\\Cross\:Multiply:\\30*22=10y\\660=10y\\y=\frac{660}{10}\\y=66](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B10%7D%3D%5Cfrac%7By%7D%7B22%7D%5C%5CCross%5C%3AMultiply%3A%5C%5C30%2A22%3D10y%5C%5C660%3D10y%5C%5Cy%3D%5Cfrac%7B660%7D%7B10%7D%5C%5Cy%3D66)
So, we get y = 66
Solving the similar triangles, we get x=10.6, y=66