SSC CGL 2022 PYQ — Question 55

SSC CGL - 01 Dec 2022 - Shift 1 • Quantitative Aptitude • Q55

In the triangle ABC, AB = 12 cm and AC = 10 cm and ∠BAC =60°. What is the value of the length of side BC?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 11.13 cm.

Here we have to find the side BC, which is opposite to ∠A,

Then by law of cosines,

BC2 = AB2 + AC2 - 2 × AB × AC × cos ∠A

BC2 = 122 + 102 - 2 × 12 × 10 × 1/2

BC2 = 244 - 120 = 124

BC = 11.13 cm (approx.)