SSC CPO 2023 PYQ — Question 132

SSC CPO - 04 Oct 2023 - Shift 2 • Quantitative Aptitude • Q132

In a triangle ABC, if ∠B = 90°, ∠C = 45° and AC = 4 cm, then the value of BC is

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 2 2\sqrt{2}cm.

Given that

In a triangle ABC, ∠\angleB = 90°, ∠\angleC = 45° and AC = 4 cm,

According to the question

In triangle ABC, cos 45° = BC/AC

BC = 4 × 1/√2 = 2 2\sqrt{2} cm