Question

Please figure the missing lengths.

Answer 1

x = 26.25 and y = 12

Explanation:

Given two similar triangles and with dimension of sides,

we have to find the value of x and y,

Since, the triangles given are similar triangles

So, the corresponding sides are in same proportion in case of similar triangles.

So,
`(36)/(27)=(35)/(x)=(16)/(y)`

Taking first two ratios,

`(36)/(27)=(35)/(x)`

`(4)/(3)=(35)/(x)`

`\Rightarrow {x}=(35 * 3)/(4)=26.25`

`\Rightarrow x=26.25`

Now, taking first and third ratio, we get,

`(36)/(27)=(16)/(y)`

`\Rightarrow (4)/(3)=(16)/(y)`

`\Rightarrow y=(16 * 3)/(4)`

`\Rightarrow y=12`

Thus, x = 26.25 and y = 12