Answer:
x = 26.25 and y = 12
Step-by-step 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,[tex]\frac{36}{27}=\frac{35}{x}=\frac{16}{y}[/tex]
Taking first two ratios,
[tex]\frac{36}{27}=\frac{35}{x}[/tex]
[tex]\frac{4}{3}=\frac{35}{x}[/tex]
[tex]\Rightarrow {x}=\frac{35 \times 3}{4}=26.25[/tex]
[tex]\Rightarrow x=26.25[/tex]
Now, taking first and third ratio, we get,
[tex]\frac{36}{27}=\frac{16}{y}[/tex]
[tex]\Rightarrow \frac{4}{3}=\frac{16}{y}[/tex]
[tex]\Rightarrow y=\frac{16 \times 3}{4}[/tex]
[tex]\Rightarrow y=12[/tex]
Thus, x = 26.25 and y = 12
