SSC Selection Post 2022 PYQ — Question 52

SSC Selection Post - Graduation Level - 9 Feb 2022 - Shift 3 • Quantitative Aptitude • Q52

In △ABC, the bisector of ∠B meets side AC at D. If AB = 16 cm, BC = 9.6 cm, and AC = 22.4 cm, then what is the length (in cm) of AD?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 14.

AD/DC = AB/BC = 16/9.6 = 5/3

AD = (5/8) × 22.4 = 14 cm