if triangle ABC' is similar to triangle DEF and BC=36 EF=3 and DE=6 what is the measure of AB
To find the measure of AB, first find the scale factor between triangle ABC' and triangle DEF by comparing the corresponding sides.
The scale factor is EF / BC = 3 / 36 = 1/12. This means that each side of triangle DEF is 1/12 of the corresponding side of triangle ABC'.
Since DE = 6 in triangle DEF, AB = 12 * DE = 12 * 6 = 72.
Therefore, the measure of AB in triangle ABC' is 72.