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Part 1
A sculptor is designing her new triangular masterpiece. In her scale​ drawing, the shortest side of the triangular piece to be made measures 8 cm. The longest side of the drawing measures 40 cm. The longest side of the actual triangular piece to be sculpted must be 19.6 m long. How long will the shortest side of this piece​ be?

1 answer

To find the length of the shortest side of the actual triangular piece, we can set up a proportion using the lengths of the sides in the scale drawing and the actual measurements.

Let x be the length of the shortest side of the actual triangular piece.

Using the given information:
8 cm is to 40 cm as x is to 19.6 m.

Therefore, we can write the proportion:

8 cm / 40 cm = x / 19.6 m

Solving for x:

8/40 = x/19.6

0.2 = x/19.6

x = 0.2 * 19.6
x = 3.92

So, the shortest side of the actual triangular piece will be 3.92 meters long.
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