Question

Find the missing side length for each set of similar figures.

Answer 1

3. you would do
`(x)/(20) = (12.8)/(16)` they are similar triangles, meaning that their sides are proportional. Based on the photo, it is assumable that x and 20 are proportional, so we can write is as a fraction. Then you can take 12.8 and 16 which are also proportional and say it is equal to
`(x)/(20)` because corresponding sides yay math woohoo! anyway, you can solve that equation by doing cross products:

`16x = 12.8 * 20\\16x = 256\\x = 16`

You would then do the same steps for y:

`(y)/(10)=(16)/(20)` you could also do
`(y)/(10) = (12.8)/(16)`, but you may notice that 10 fits into 20 two times so you do not even need to do cross products. y = 8.

Follow these steps for #5! good luck have fun nice day

Answer 2

• given below

Explanation:

try to create equation to solve similarities maths:

`(side 1)/(side 2) =(side. 1 ..englarged)/(side.2 ..enlarged)`

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question (a) answer:

`(x)/(12.8) =(20)/(16)`

`x=16`

............

`(y)/(12.8) =(10)/(16)`

`y=8`

..........................................

question (b) answer:

`(x)/(22.5) =(12)/(9)`

`x=30`

..........

`(y)/(9) =(35)/(22.5)`

`y=14`