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?

Answer 1

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.