Question

A sculptor is designing her new triangular masterpiece. In her scale​ drawing, the shortest side of the triangular piece to be made measures 3cm The longest side of the drawing measures 34cm The longest side of the actual triangular piece to be sculpted must be 15.1m long. How long will the shortest side of this piece​ be?

A) 0.313 m
B) 1.34 m
C) 13.412 cm
D) 3.4 cm

Answer 1

The shortest side of the actual triangular piece will be approximately 0.1 cm long.

Step-by-step explanation:

To find the length of the shortest side of the actual triangular piece, we need to determine the scale factor between the scale drawing and the actual sculpture. We can do this by comparing the lengths of the longest side in both the scale drawing and the actual piece.

Given that the longest side of the scale drawing is 34 cm and the longest side of the actual piece is 15.1 m, we can set up a proportion:

34 cm / 15.1 m = x cm / 3 cm

Cross-multiplying and solving for x, we find that x = (34 cm × 3 cm) / 15.1 m = 204 cm / 15.1 m

Converting 15.1 m to cm, we get 15.1 m = 15.1 m × 100 cm/m = 1510 cm

Substituting the values, we have x = 204 cm / 1510 cm = 0.13476821 cm

Rounding to the nearest tenth, the shortest side of the actual piece will be approximately 0.1 cm.