What is the area of the triangle whose sides are 51 cm 37 cm and 20 cm ........

Quantitative Aptitude (CDS) Mensuration 2D

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What is the area of the triangle whose sides are 51 cm, 37 cm, and 20 cm?

300 square cm

305 square cm

306 square cm

307 square cm

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Explanation:

By using Heron’s formula:
Semi perimeter(S) = (a+b+c)/2= 51+37+202= 1082=54 [As, a = 51, b = 37 and c = 20]
Area of triangle = √s(s−a)(s−b)(s−c) = √54(54−51)(54−37)(54−20)
= √54×3×17×34 = √(3×3×3×2)×3×17×(17×2) = 3×3×2×17=306 sq.cm