SSC CPO 2019 PYQ — Question 148

SSC CPO Tier I - 13th December 2019 - Shift 2 • Quantitative Aptitude • Q148

In ΔABC, 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?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 2 cm

Understanding Application
Tricks

According to question

Now

ΔABC ~ ΔBCD (Both are Isosceles Triangle)

So

⇒ AB/BC = BC/DC (CPCT)

12.5/5 = 5/DC

DC = 25/12.5

Hence DC = 2