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
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113
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2
2
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1 Start Fraction 2 over 3 End Fraction
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To determine the scale factor, we need to compare the corresponding sides of the two triangles.
For the first triangle, the longest side is 18 inches.
For the second triangle, the corresponding side is given as 30 inches.
To find the scale factor, we divide the length of the second triangle's side by the length of the first triangle's side:
Scale factor = 30 inches / 18 inches = 5/3
Since the lengths are given in centimeters, the scale factor will be the same, which is:
Start Fraction 5 over 3 End Fraction
THERE IS NOT
I apologize for the confusion. Since the lengths are given in centimeters, we need to convert the measurements from inches to centimeters in order to find the scale factor.
1 inch is equal to 2.54 centimeters.
For the first triangle, the longest side is 18 inches, which is equal to 18 * 2.54 = 45.72 centimeters.
For the second triangle, the corresponding side is given as 30 inches, which is equal to 30 * 2.54 = 76.2 centimeters.
To find the scale factor, we divide the length of the second triangle's side by the length of the first triangle's side:
Scale factor = 76.2 centimeters / 45.72 centimeters = 1.67
Therefore, Randee used a scale factor of approximately 1.67 to create the copy of the triangle on the right from the original on the left.
To determine the scale factor that Randee used to create the copy on the right, we need to compare the lengths of corresponding sides of the two triangles.
Let's start with the first triangle. It has a base of 18 inches and sides of 10 inches and 15 inches.
Now let's look at the second triangle. It has sides of 30 inches, 36 inches, and 20 inches.
To find the scale factor, we need to compare the lengths of corresponding sides.
Comparing the base of the first triangle (18 inches) with the longest side of the second triangle (36 inches), we see that the second triangle's longest side is twice as long as the first triangle's base.
Therefore, the scale factor is 2.
So, Randee used a scale factor of 2 to create the copy of the triangle on the right from the original triangle on the left.