In △ABC, AB = AC and D is a point on side AC such that BD = BC, If AB = 12.5 cm and BC = 5 cm, then what is the measure of DC?

2 cm 2.5 cm 3 cm 1.8 cm

2 cm

As we know, \(\Delta \)ABC is similar to \(\Delta \)BDC \(\frac{DC}{BC}\) = \(\frac{BC}{AC}\) ⇒ \(\frac{DC}{5}\) = \(\frac{5}{12.5}\) ⇒ DC = 2 cm.