Question

I need help solving this problem

Answer 1

Solving the similar triangles, we get x=10.6, y=66

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:

`(32)/(x)=(30)/(10)=(y)/(22)`

Now, we can solve to find value of x and y

First solving to find value of x:

`(32)/(x)=(30)/(10)\\Cross \:multiply\\32* 10=30x\\320=30x\\x=(320)/(30)\\x=10.6`

So, we get x = 10.6

Now, finding value of y:

`(30)/(10)=(y)/(22)\\Cross\:Multiply:\\30*22=10y\\660=10y\\y=(660)/(10)\\y=66`

So, we get y = 66

Solving the similar triangles, we get x=10.6, y=66