In the figure above, triangle ABC is similar to triangle ADE. If side BC = 8 cm, side DE = 12 cm and side AE = 21 cm, then what is the measure of side AC?
Since triangle ABC is similar to triangle ADE, we have:
AC/AE = BC/DE
Now substitute the given values:
AC/21 = 8/12
Solving for AC:
AC = (21 * 8) / 12
AC = 168 / 12
AC = 14 cm
Therefore, the measure of side AC is 14 cm.