SSC Selection Post 2023 PYQ — Question 68

SSC Selection Post - Higher Secondary Level - 30 June 2023 - Shift 2 • Quantitative Aptitude • Q68

The area of the triangle whose sides are 3 cm, 5 cm, and 6 cm is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e.  2142\sqrt{14} cm2.

Semi-perimeter (s) = (3 + 5 + 6)/2 = 7 cm

Area =s(s−a)(s−b)(s−c)= \sqrt{s(s - a)(s - b)(s - c)}

=7(7−3)(7−5)(7−6)= \sqrt{7(7-3)(7-5)(7-6)}

=7(4)(2)(1)= \sqrt{7(4)(2)(1)}

= 2√14 cm2