MathematicsIf ΔABC∼ΔPQR , such that AB=3.6,PQ=2.4 , and PR=5.4 , then AC=

If $Δ A B C \sim Δ P Q R$ , such that $A B = 3.6, P Q = 2.4$ , and $P R = 5.4$ , then $A C =$

Δ A B C \sim Δ P Q R

$\begin{matrix} \frac{A B}{P Q} = \frac{B C}{Q R} = \frac{A C}{P R} \\ \Rightarrow \frac{3.6}{2.4} = \frac{A C}{5.4} \end{matrix}$

$\Rightarrow A C = \frac{3 \times 5.4}{2}$

$\Rightarrow A C = 8.1$

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