Jordan makes a scale drawing of the triangle in which the side originally measuring 6 cm now measures 24 cm. In Jordan’s scale drawing, what will be the length of the longest side of the triangle?
(1 point)
Responses
1.75 cm
1.75 cm
4 cm
4 cm
25 cm
25 cm
28 cm
28 cm
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The correct answer is 28 cm.
Since the side originally measuring 6 cm now measures 24 cm in the scale drawing, we can determine the scale factor by dividing the new measurement by the original measurement: 24 cm / 6 cm = 4.
Therefore, if the longest side of the triangle in the original drawing was x cm, then in Jordan's scale drawing it would be x * 4 = 4x cm.
Given that the longest side of the triangle in the scale drawing is 24 cm, we can solve for x:
4x = 24 cm
x = 24 cm / 4
x = 6 cm
Therefore, the longest side of the triangle in the original drawing was 6 cm, and in Jordan's scale drawing it is 6 cm * 4 = 24 cm.
This means that the longest side of the triangle in the scale drawing is 24 cm, which corresponds to the length of the original longest side being 24 cm * 4 = 28 cm. So the correct answer is 28 cm.