Question

Please figure the missing lengths.

Answer 1

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,$\frac{36}{27}=\frac{35}{x}=\frac{16}{y}$

Taking first two ratios,

$\frac{36}{27}=\frac{35}{x}$

$\frac{4}{3}=\frac{35}{x}$

$\Rightarrow {x}=\frac{35 \times 3}{4}=26.25$

$\Rightarrow x=26.25$

Now, taking first and third ratio, we get,

$\frac{36}{27}=\frac{16}{y}$

$\Rightarrow \frac{4}{3}=\frac{16}{y}$

$\Rightarrow y=\frac{16 \times 3}{4}$

$\Rightarrow y=12$

Thus, x = 26.25 and y = 12