Similar figures are identical in shape, but generally not in size. A missing length on a reduction/enlargement figure can be calculated by finding its linear scale factor.

Triangle A^{1}B^{1}C^{1} has been enlarged to give triangle ABC.

What is the scale factor of enlargement?

Triangle XYZ has been enlarged to give triangle X^{1}Y^{1}Z^{1}.

Triangle ABC has been enlarged to give triangle A^{1}B^{1}C^{1}.

For the pair of similar rectangles below, find the scale factor and calculate .

24cm

26cm

37.5cm

For the pair of similar triangles below, find the scale factor and calculate .

15cm

6cm

4cm