When he drives these two triangles with the links given in centimeters what scale factor does she use to create the copy on the right from the original on the lift 36” x 20” x 30”
To determine the scale factor used to create the copy on the right from the original on the left, we need to compare the corresponding side lengths of the triangles.
Let's denote the side lengths of the original triangle on the left as x, y, and z. Correspondingly, the side lengths of the copy on the right will be 36", 20", and 30".
To find the scale factor, we can calculate the ratio between the corresponding side lengths of the two triangles:
x/36 = y/20 = z/30
We can simplify this ratio by multiplying both sides by the least common multiple (LCM) of 36, 20, and 30, which is 180:
180(x/36) = 180(y/20) = 180(z/30)
This simplifies to:
5x = 9y = 6z
The scale factor used to create the copy on the right from the original on the left is 5:9:6.