If the height of the equilateral triangle is 2\sqrt3 cm, then determine the area (in cm^2 ) of the equilateral triangle.

SSC CHSL 4 Mar 2018 Shift 1 Paper

Section: General Awareness

Question : 81 of 100

Marks: +1, -0

If the height of the equilateral triangle is

2√3

cm, then determine the area (in cm

^2

) of the equilateral triangle.

Solution:

Let side of the equilateral triangle = s cm
Median = Height of triangle =

2√ 3 ={√3s} /2

⇒

s =2×2=4cm

∴ Area of the equilateral triangle =

√3/4(s)^2

√3/4 × (4)^2

4 √3 cm^2

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