SSC CPO 2022 PYQ — Question 127

SSC CPO - 11 Nov 2022 - Shift 2 • Quantitative Aptitude • Q127

Find the area of triangle whose sides are 10 cm, 12 cm, and 18 cm.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 402\sqrt2 cm2.

sides of the triangle a = 10 cm, b = 12 cm, and c = 18 cm

S = (a + b + c)/2 = (10 + 12 + 18)/2 = 40/2 = 20

A = S(S−a)(S−b)(S−c)\sqrt{S(S-a)(S-b)(S-c)}

A = 20×10×8×2\sqrt{20\times10\times8\times2}

A = 402\sqrt2 cm2.