Question

What is the area
with side √3/4
of
equialateral triangle​

Answer 1

★ To find :

Area of equilateral triangle with side √3/4

★ Solution :

We know that ,

$\leadsto Area \: of \: equilateral \: triangle = \frac{\sqrt{3}}{4} a^2$

where, a is the length of side.

by putting the value of a as √3/4

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

$\implies \frac{(\sqrt{3})^{3}}{4^{3}}$

$\implies \frac{3\sqrt{3}}{64}$

√3 = 1.73

by putting value of √3

$\implies \frac{3 \times 1.73}{64}$

$\implies \frac{5.19}{64}$

$\purple{\implies 0.081093 \: unit \: squared}$

Answer 2

Given that :-

• Side of equilateral triangle is √3/4 .

To Find :-

• Area of equilateral triangle.

Solution :-

As we know that,

• Area of equilateral triangle = √3/4 × a²

=> Area of equilateral triangle = √3/4 × (√3/4)²

=> Area of equilateral triangle = √3/4 × 3/16

=> Area of equilateral triangle = 3 × √3 / 16 × 4

=> Area of equilateral triangle = 3√3 / 64

=> Area of equilateral triangle = 3 × 1.732 / 64

=> Area of equilateral triangle = 5.196 / 64

=> Area of equilateral triangle = 0.0811875 unit².