△DNS∼△ARH .What is the value of x?Enter your answer in the box. unitsTriangle D N S with D N equal to 72 and D S equal to 110. Triangle A R H with A R equal to 21.6 and A H equal to x.
Question
Answer:
[tex]\Delta DNS \sim \Delta ARH \Longrightarrow \dfrac{DN}{AR} = \dfrac{DS}{AH} \\ \\ \dfrac{72}{21.6} = \dfrac{110}{x} \\ \\ \\ x = \dfrac{21.6 \times 110}{72} \\ \\ \\ x = \dfrac{2376}{72} \\ \\ \boxed{x = 33 \ units}[/tex]
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