Question

Find the area of an equilateral triangle whose side is 4 cm 4√3 cm² 16√3 cm² 8√3 cm² 16 cm²

Answer 1

Given :

• Side of Equilateral Triangle is 4 cm .

To Find :

• Area of Equilateral Triangle .

Solution :

$\longmapsto\tt{Side(a)=4\:cm}$

Using Formula :

$\longmapsto\tt\boxed{Area\:of\:Equilateral\:\triangle=\dfrac{\sqrt{3}}{4}{a}^{2}}$

Putting Values :

$\longmapsto\tt{\dfrac{\sqrt{3}}{{\not{4}}}\times{{\not{4}}}\times{4}}$

$\longmapsto\tt\bf{4\sqrt{3}\:{cm}^{2}}$

So , The Area of Equilateral Triangle is 4√3 cm² ..

_______________________

Triangle :

A triangle is a simple closed curve figure made of three line segments. It has three vertices , three sides and three angles .

Classification of Triangles based on Sides :

• A triangle having three unequal sides is called as Scalene Triangle.
• A triangle having two equal sides is called as Isosceles Triangle .
• A triangle having three equal sides is called as Equilateral Triangle .

Classification of Triangles based on Angles :

• If angle is less than 90 degree than the triangle is known as Acute Angled Triangle.
• If an angle is of 90 degree then the triangle is known as Right Angled Triangle .
• If the angle is greater than 90 degree than the triangle is known as Obtuse Angled Triangle .

_______________________