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# A sculptor is designing her new triangular masterpiece. In her scale​ drawing, the shortest side of the triangular piece to be made measure

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A sculptor is designing her new triangular masterpiece. In her scale​ drawing, the shortest side of the triangular piece to be made measures 7 cm.7 cm.  The longest side of the drawing measures 20 cm.20 cm.  The longest side of the actual triangular piece to be sculpted must be 10.6 m10.6 m long. How long will the shortest side of this piece​ be?

Guest Oct 4, 2017
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Convert   m  to cm

10.6m  =  1060 cm

So....we have the following proportion

Shortest side  of actual piece                   Shortest side of model piece

----------------------------------------        =        ---------------------------------------

Longest side of actual piece                    Longest side of model piece

Shortest side  of actual piece                   7cm

________________________   =          _______

1060 cm                                                   20 cm

Multiply both sides by 1060

Shortest side  of actual piece  =     7 * 1060 /  20   =  371 cm

CPhill  Oct 4, 2017

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