Question

Status3RecoveryABCD ~ QRSTFind the missing side length, m.B 12.CRms12SK12o3 TА12Dm = [?]=Enter

Answer 1

Given:

`\text{ABCD}\approx QRST`

We need to find the length m.

Since the given figures are similar.

Then, the corresponding sides are proportional.

Therefore,

`(AB)/(QR)=(BC)/(RS)=(CD)/(ST)=(DA)/(TQ)`

Considering (2)=(4), we get

`\begin{gathered} (BC)/(RS)=(DA)/(TQ) \\ (12)/(m)=(12)/(3) \\ 12*3=m*12 \\ 3=m \\ \therefore m=3 \end{gathered}`

Hence, the length m is 3.