Math, asked by mehaax1000, 5 months ago

the area of an equalateral triangle with side 16cm is

Answers

Answered by shivdharmendragautam
0

Answer:

Area=√34a2=√34×16×16=64√3sq.cm. =110.848 = 110.85 sq.

Step-by-step explanation:

As the area ofan equilateral triangleis

4

3

a

2

whereaisoneside

So,

area=

4

3

×16

2

=64

3

Answered by Berseria
11

Given :

  • Side of equilateral Triangle = 16 cm

Formula TO Find :

{\boxed{\bf{ area_{of \: equileteral \: triangle} =  \frac{ \sqrt{3} }{4}   \: {a}^{2} }}}

Where ,

  • a = side of equilateral Triangle

Solution :

\implies \sf \: area =  \frac{ \sqrt{3} }{4}   \:  {a}^{2} \\  \\

\implies \sf  \frac{ \sqrt{3} }{4}   \times  {16}^{2}  \\  \\

\implies \sf \:  \frac{ \sqrt{3} }{4}  \:   \times 16 \times 16 \\  \\

\sf \implies \:  \frac{ \sqrt{3} }{4}  \times 256 \\  \\

\sf \implies \:  \frac{256 \times   \sqrt{3} }{4}  \\  \\

\sf\implies \: \frac{256 \times 1.732}{4} \\ \\

\implies \sf \:  \frac{443.41}{4}  \\  \\

\bf \implies \: 110.85

\therefore \sf area \: of \: equileteral \: triangle \:  = 110.85 \: c {m}^{2}

KNOW MORE :

Formulas To Find Area :

  • Circle = πr²

r = radius of the circle

  • Triangle = ½ × b × h

b = base, h = height

  • Square = a ²

a = length of side

  • Rectangle = l × b

l = length, b = breadth

  • Parallelogram = b × h

b=base, h=vertical height

  • Trapezium = ½(a+b) × h

a and b are the length of parallel sides,

h = height

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