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?
To find the scale factor, we need to compare the lengths of corresponding sides in the two triangles.
In the first triangle, the left side is 10 inches, the right side is 15 inches, and the bottom side is 18 inches.
In the second triangle, the left side is 36 inches, the right side is 20 inches, and the bottom side is 30 inches.
To convert the lengths from inches to centimeters, we multiply them by 2.54 (since 1 inch is approximately equal to 2.54 centimeters).
So, in the first triangle, the left side is 10 * 2.54 = 25.4 cm, the right side is 15 * 2.54 = 38.1 cm, and the bottom side is 18 * 2.54 = 45.72 cm.
In the second triangle, the left side is 36 * 2.54 = 91.44 cm, the right side is 20 * 2.54 = 50.8 cm, and the bottom side is 30 * 2.54 = 76.2 cm.
Now, to find the scale factor, we can compare the lengths of the corresponding sides:
Scale factor for the left side: 91.44 cm / 25.4 cm ≈ 3.60
Scale factor for the right side: 50.8 cm / 38.1 cm ≈ 1.33
Scale factor for the bottom side: 76.2 cm / 45.72 cm ≈ 1.67
Since the scale factors for each side are approximately equal, we can say that Randee used a scale factor of 3.60 to create the copy of the triangle on the right.
Hm, okay well theses are the options
A) 1 and 1 over 3
B) 1 and 2 over 3
C) 2
D) 1 over 1
Apologies for the confusion. Let's reconsider the calculation.
To find the scale factor, we need to compare the lengths of corresponding sides in the two triangles.
In the first triangle, the left side is 10 inches, the right side is 15 inches, and the bottom side is 18 inches.
In the second triangle, the left side is 36 inches, the right side is 20 inches, and the bottom side is 30 inches.
To convert the lengths from inches to centimeters, we multiply them by 2.54 (since 1 inch is approximately equal to 2.54 centimeters).
So, in the first triangle, the left side is 10 * 2.54 = 25.4 cm, the right side is 15 * 2.54 = 38.1 cm, and the bottom side is 18 * 2.54 = 45.72 cm.
In the second triangle, the left side is 36 * 2.54 = 91.44 cm, the right side is 20 * 2.54 = 50.8 cm, and the bottom side is 30 * 2.54 = 76.2 cm.
Now, let's find the scale factor for each side:
Scale factor for the left side: 91.44 cm / 25.4 cm ≈ 3.60
Scale factor for the right side: 50.8 cm / 38.1 cm ≈ 1.33
Scale factor for the bottom side: 76.2 cm / 45.72 cm ≈ 1.67
Since the scale factor for each side is different, we cannot directly express it as one of the given options.
Apologies for the oversight earlier. There doesn't seem to be an exact match for the scale factor among the given options.