The length of the smaller triangle has 10in , 15in, 18in,

and the larger triangle has 20 in, 30 in, and 36 in,
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 answer

To find the scale factor, we need to compare the corresponding sides of both triangles.

For the smaller triangle:
Length of the corresponding side in the copy = 10 cm
Length of the corresponding side in the original = 10 in = 25.4 cm (since 1 inch = 2.54 cm)

Scale factor for the smaller triangle = Length in copy / Length in original = 10 / 25.4 = 0.3937

For the larger triangle:
Length of the corresponding side in the copy = 20 cm
Length of the corresponding side in the original = 20 in = 50.8 cm (since 1 inch = 2.54 cm)

Scale factor for the larger triangle = Length in copy / Length in original = 20 / 50.8 = 0.3937

Therefore, Randee uses a scale factor of 0.3937 to create the copy on the right from the original on the left.