1 of 8 0-day streak

Applied similarity and scale

Question 1 of 8

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A scale relation is used in a triangular shelter plan with an inner support

Triangle \(HJK\) is inside triangle \(HLM\). Points H, J and L lie in that order on one straight side; H, K and M lie in that order on the other. Side \(HJ\) corresponds to side \(HL\), and side \(HK\) corresponds to side \(HM\)

The sides \(JK\) and \(LM\) are parallel, so the corresponding angles are equal

The known corresponding sides are \(HK=8\ \mathrm{cm}\) and \(HM=32\ \mathrm{cm}\)

The target side \(HJ\) is \(8\ \mathrm{cm}\). Its corresponding side \(HL\) is unknown

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