SSC GD 2023 PYQ — Question 55

SSC GD Constable (English) - 17 Jan 2023 - Shift 3 • Quantitative Aptitude • Q55

Find the area of the triangle whose sides are 13 cm, 14 cm and 15 cm

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e 84 cm2.

The sides of the triangle

a = 13 cm, b = 14 cm and c = 15 cm

By using Heron's Formula

Area of Triangle = √s(s-a)(s-b)(s-c)

s = (a + b + c)/2

= (13 + 14 + 15)/2

= 42/2 = 21

Area = 21(21−13)(21−14)(21−15)\sqrt{21(21 -13)(21-14)(21-15)}

= 21×8×7×6\sqrt{21\times8\times7\times6}

= 84 cm2