Question

How do I find out the two missing lengths

Answer 1

Answer:

x= $10\frac{10}{7}$ and y= 10.

Step-by-step explanation:

It is given that the triangles are similar.

So, the ratio of their sides will be equal.

i.e. $\frac{21}{14}=\frac{16}{x}=\frac{15}{y}$

i.e. $\frac{3}{2}=\frac{16}{x}=\frac{15}{y}$

This gives us that,

$\frac{3}{2}=\frac{16}{x}$ and $\frac{3}{2}=\frac{15}{y}$

i.e. $x=\frac{16\times 2}{3}$ and $y=\frac{15\times 2}{3}$

i.e. $x=\frac{32}{3}$ and $y=\frac{30}{3}$

i.e. x= 10.7= $10\frac{10}{7}$ and y= 10

Thus, the side lengths are x= $10\frac{10}{7}$ and y= 10.