63.6k views
2 votes
Triangle BCA is similar to Triangle STR . What is the value of x?

Triangle BCA is similar to Triangle STR . What is the value of x?-example-1
User ThinkFloyd
by
2.9k points

1 Answer

4 votes

Sin the triangles are similar the ratio 4 to 6 should hold for any side, this means that:


(4)/(6)=(x)/(9)

Solving for x we have:


\begin{gathered} (4)/(6)=(x)/(9) \\ x=9((4)/(6)) \\ x=(36)/(6) \\ x=6 \end{gathered}

Therefore. x=6.

User Andres Descalzo
by
3.5k points