1 of 8 0-day streak

Applied similarity and scale

Question 1 of 8

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The measurements describe a triangular artwork plan with a nested outline

Triangle \(TUV\) is inside triangle \(TWX\). Points T, U and W lie in that order on one straight side; T, V and X lie in that order on the other. Side \(TU\) corresponds to side \(TW\), and side \(TV\) corresponds to side \(TX\)

The sides \(UV\) and \(WX\) are parallel, so the corresponding angles are equal

The known corresponding sides are \(TV=11\ \mathrm{cm}\) and \(TX=55\ \mathrm{cm}\)

The target side \(TU\) is \(7\ \mathrm{cm}\). Its corresponding side \(TW\) is unknown

Calculate \(TW\) in \(\mathrm{cm}\)