Question

find the area of an equilateral triangle area of side7​

Answer 1

Area of triangle = 21.22 unit

Step-by-step explanation:

GIVEN

Side = 7 unit

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Formulas Of Triangle

Perimeter of triangle = a + b + c

Area of triangle = ½ × base × height

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

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We know that,

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

$Area \: of \: an \: equilateral \: triangle = \frac{ \sqrt{3} }{4} {7}^{2}$

$Area \: of \: an \: equilateral \: triangle = \frac{{1.73205080757} }{4} \times 49$

$Area \: of \: an \: equilateral \: triangle = \: 0.43301270189 \times 49$

$Area \: of \: an \: equilateral \: triangle = \: 21.2176223926$

Area of triangle = 21.22

Answer 2

In context to question asked,

We have to determine the area of equilateral triangle.

As per question,

Side of equilateral triangle = 7 units

As we know that,

All the sides of equilateral triangle is equal.

Area of equilateral triangle $=\frac{{\sqrt{3}}}{4}\times side^2$

So, for determining the area of triangle, we will put the value of side in above formula,

Thus we will get,

Area of equilateral triangle will be

$=\frac{{\sqrt{3}}}{4}\times 7^2\\=\frac{49{\sqrt{3}}}{4}\:unit^2$