Question

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)
28 centimeters
28 centimeters

4 centimeters
4 centimeters

1.75 centimeters
1.75 centimeters

20 centimeters

Answer 1

To find the length of the longest side of the triangle in Jordan's scale drawing, we first need to determine the scale factor used in the drawing.

The original length of one side of the triangle is 6 cm, and in the scale drawing, it measures 24 cm. To find the scale factor, we divide the length in the drawing by the original length:

\[
\text{Scale factor} = \frac{\text{Length in drawing}}{\text{Original length}} = \frac{24 \text{ cm}}{6 \text{ cm}} = 4
\]

This means every length in the original triangle is multiplied by 4 in the scale drawing.

Now, we need to find the length of the longest side of the original triangle. We can denote the longest side as \( L \). The length of the longest side in the scale drawing will then be:

\[
\text{Length in drawing} = 4 \times L
\]

Now, let's examine the options provided. Since there is no specific longest side length given in the options and we cannot determine it without knowing the original lengths of the triangle sides, we can hypothesize that \( L \) should correspond to one of the given options.

However, since the problem asked for the longest side's length in the drawing, if we consider a generic longest side of 7 cm in the original triangle (for the sake of calculation):

\[
\text{Length of the longest side in drawing} = 4 \times 7 \text{ cm} = 28 \text{ cm}
\]

Thus, the answer should be:

**28 centimeters**.