Question

area of a equilateral triangle whose side is 6cm is 9√3 cm2. state true or false​

Answer 1

Area of a equilateral triangle whose side is 6cm is 9√3 cm2 - True

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Answer 2

True .

• Area of an equilateral triangle whose side if 6 cm = 9√3 cm².

Explaination :

We know that,

Area of an equilateral triangle = $\sf \sqrt{\dfrac{3}{4}} {a}^{2}$

Where,

• a = side

Given that,

Side = a = 6 cm.

Now, substitute the value of side (a) in the formula of the area of an equilateral triangle.

$\implies \sqrt{ \dfrac{3}{4} } \times {(6 \: cm )}^{2}$

$\implies \sqrt{ \dfrac{3}{ \cancel4} } \times 6 \times \cancel6 \: {cm}^{2}$

$\implies \sqrt{ \dfrac{3}{ \cancel2} } \times \cancel6 \times 3 \: {cm}^{2}$

$\implies \sqrt {\dfrac{3}{1} } \times 3 \times 3 \: {cm}^{2}$

$\implies \sqrt{3} \times 3 \times 3 \: {cm}^{2}$

$\implies 3 \times 3 \sqrt{3} \: {cm}^{2}$

$\implies 9 \sqrt{3} \: {cm}^{2}$

Hence,

The area of an equilateral triangle is 9√3 cm².

So, the statement “ Area of an equilateral triangle whose side is 6 cm is 9√3 cm² ” is true.