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?
Answer & explanation
Correct answer: option 1
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.