Use the image to answer the question.

An illustration shows two triangles positioned differently. The first triangle has its longest side along the baseline. The second triangle has its longest side in the upper left, and the triangle is tilted upward to the right. The first triangle has a base of 18 inches and sides as 10 inches and 15 inches. The second triangle shows three sides as 30 inches, 36 inches, and 20 inches.

Randee draws these two triangles with lengths given in centimeters. What scale factor does she use to create the copy on the right from the original on the left?

(1 point)
Responses

2
2

12
Start Fraction 1 over 2 End Fraction

113
1 Start Fraction 1 over 3 End Fraction

123
1 Start Fraction 2 over 3 End Fraction

3 answers

To find the scale factor, we need to compare the corresponding sides of the two triangles.

In the original triangle (on the left):
Longest side = 18 inches

In the copied triangle (on the right):
Longest side = 30 centimeters

To find the scale factor, we can take the ratio of the corresponding sides:
Scale factor = length of longest side in the copy / length of longest side in the original

Scale factor = 30 centimeters / 18 inches

Since we need the lengths to be in the same unit, let's convert inches to centimeters. There are 2.54 centimeters in 1 inch.

Scale factor = (30 centimeters / 18 inches) * (2.54 centimeters / 1 inch)

Scale factor = (30 * 2.54) centimeters / (18 * 1) inches

Scale factor = 76.2 centimeters / 18 inches

Simplifying the fraction, we get:

Scale factor = 4.2333...

So, Randee used a scale factor of approximately 4.2 to create the copy on the right from the original on the left.
choose a option from my qustoin
Based on the given options, the correct answer is:

123
1 Start Fraction 2 over 3 End Fraction