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Find the value of x assume the triangles are the same

Find the value of x assume the triangles are the same-example-1

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x=44

1) In this problem, we need to find the constant of proportionality assuming these triangles are similar. So let's divide each corresponding leg:


(22)/(18)=(33)/(27)\Rightarrow\:k=(11)/(9)

2) So, based on that constant of proportionality (k) we can find the missing leg.


\begin{gathered} x/(11)/(9)=36 \\ \\ x\cdot(9)/(11)=36 \\ \\ 11*(9)/(11)x=36*11 \\ \\ 9x=396 \\ \\ (9x)/(9)=(396)/(9) \\ \\ x=44 \end{gathered}

Note that since the triangle on the top is larger than the one on the bottom, we can tell that x must be larger than 36.

User Jaga
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