Question

a=b=c=12 m . Find the area of triangle.

Answer 1

Area of Triangle : (Herons Formula)

√s(s-a)(s-b)(s-c)

where,

s = semi perimeter of Triangle

a,b,c = sides of triangle.

So,

Perimeter = 12+12+12 = 36

Semi Perimeter = 36/2 = 18

Putting the values,

√18(18-12)(18-12)(18-12)

√18 × 6 × 6 × 6

Area = 36√3 m²

Alternate Form:

62.35 m²

Answer 2

$\frac{ \sqrt{3} }{4} \times {a}^{2}$

$\frac{ \sqrt{3} }{4} \times 12 \times 12$

$\sqrt{3} \times 3 \times 12$

$\sqrt{3} = \: 1.732$

$1.732 \times 36$

$62.352 \: {m}^{2}$