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
12
Start Fraction 1 over 2 End Fraction
123
1 Start Fraction 2 over 3 End Fraction
2
2
113
The image provided does not give enough information to determine the scale factor used by Randee to create the copy on the right from the original on the left.
just give me an anwser
I apologize, but it is not possible to determine the scale factor used by Randee without additional information.
To answer the question, we need to compare the lengths of corresponding sides in the two triangles.
In the first triangle, the base measures 18 inches, while in the second triangle, the corresponding base measures 30 centimeters. To find the scale factor, we need to convert the measurements to the same units.
Since 1 inch is equal to 2.54 centimeters, we can convert the length of the base in the first triangle from inches to centimeters. Multiplying 18 inches by 2.54 gives us 45.72 centimeters.
Now, we can find the scale factor by dividing the length of the corresponding sides in the second triangle by the length of the corresponding sides in the first triangle.
For the base, the ratio is 30 centimeters (in the second triangle) divided by 45.72 centimeters (in the first triangle), which simplifies to 30/45.72.
After simplifying this ratio, we get the scale factor of approximately 0.6573 (rounded to four decimal places).
Therefore, Randee used a scale factor of approximately 0.6573 to create the copy on the right from the original triangle on the left.