Question

Giren SABC ~0872, find the ratio and the missing sicles, I 12m 21m B 7m A с C z 근. b Z ㅋ Z 17.5m be z =

Answer 1

Since the triangles are similar, then their corresponding sides satisfy the next proportion:

`r=(YZ)/(BC)=(YX)/(BA)=(XZ)/(AC)`

Substituting with data, we get:

`r=(21)/(12)=1.75`
`\begin{gathered} (21)/(12)=(z)/(7) \\ (21)/(12)\cdot7=z \\ 12.25\text{ m = z} \end{gathered}`
`\begin{gathered} (21)/(12)=(17.5)/(b) \\ 21\cdot b=17.5\cdot12 \\ b=(17.5\cdot12)/(21) \\ b=10\text{ m} \end{gathered}`