A triangle is 10 inches on the left and 15 on the right and 18 inches on the bottom
Another triangle is 36 inches on the left 20 inches on the right and 30 inches on the bottom
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?
the options:
A) 1 and 1 over 3
B) 1 and 2 over 3
C) 2
D) 1 over 1
To find the scale factor, we need to compare the lengths of corresponding sides of the two triangles.
For the first triangle, the left side is 10 inches.
For the second triangle, the left side is 36 inches.
To find the scale factor, we divide the length of the left side of the second triangle by the length of the left side of the first triangle: 36 inches / 10 inches = 3.6.
For the first triangle, the right side is 15 inches.
For the second triangle, the right side is 20 inches.
To find the scale factor, we divide the length of the right side of the second triangle by the length of the right side of the first triangle: 20 inches / 15 inches = 1.33.
For the first triangle, the bottom side is 18 inches.
For the second triangle, the bottom side is 30 inches.
To find the scale factor, we divide the length of the bottom side of the second triangle by the length of the bottom side of the first triangle: 30 inches / 18 inches = 1.67.
Since the scale factor can be different for each side, we will take the average of the three scale factors: (3.6 + 1.33 + 1.67) / 3 = 2.2.
Therefore, the scale factor Randee uses to create the copy on the right from the original on the left is 2.2.
None of the given options match the calculated scale factor of 2.2, so the answer is not available.