Equilateral Triangle Calculator

Equilateral Triangle:

The Equilateral Triangle is a special case of a triangle having all the slides equal to each and additionally the angles.

An equilateral triangle is also called a regular triangle, there are certain homes an equilateral triangle has:

• The equilateral triangle has all of the aspects equal to every different.

                          Aspects of Equilateral Triangle: a = b = c  

• The equilateral triangle measurements of angles equal 60°, and these angles are congruent with each other.

                         $$ m∠A = m∠B = m∠C = 60^\text{o} $$

• The altitude, the angle bisector, the perpendicular bisector, and the median of the equilateral triangle coincide with every different

Equilateral Triangle formulation For area:

The Equilateral triangle components for place can be derived by way of following methods: It relies upon on how you will find the area and what elements you have got in the equilateral triangle equation.

Case 1:

Recall if you have the bottom and peak of the Equilateral triangle, then you may locate the region by using the given method:

$$ Area = \frac{1}{2} Base * Height $$

Case 2:

Consider you realize the duration of the perimeters of the Equilateral triangle, then use the equilateral triangle system:

$$ Area=\dfrac{\left(a^{2}*\sqrt{3}\right)}{4} $$

A way to find the peak of an Equilateral Triangle?

You could calculate the height by using the height of the equilateral triangle system:

$$ Height=\dfrac{\left(Side*\sqrt{3}\right)}{2} $$

Equilateral Triangle Measurements For Perimeter:

The equilateral triangle equations for diverse measurements of the Perimeter are given beneath:

• The perimeter of Equilateral Triangle: P = 3a

The equilateral triangle formula for Semiperimeter:

• Semiperimeter of Equilateral Triangle: s = 3a / 2

Example

Calculate the height of an equilateral triangle and its location whose side is 6 cm.

Solution:

The length of the side “a” = 6 cm

We know that the area of the equilateral triangle is (√3/4)a²

Now, substitute the value a = 6 in the formula:

A = (√3/4)(6)²

A = (√3/4)(36)

A = 9√3

A = 9 × 1.732

A = 15.588 cm²

h = a × √3 / 2

h = 6 × √3 / 2

h = 6 × 0.866

h = 5.196 cm

Perimeter:

P = 3a

P = 3(6)

P = 18 cm

Semiperimeter:

s = 3a / 2

s = 18 / 2

s = 9 cm

you may measure the location, height, perimeter, and semi-perimeter with the equilateral triangle calculator.

The way to Use the Equilateral Triangle Calculator?

For various measurements opportunities, just comply with the commands given underneath:

Input:

• Pick out the parameters from the list
• Enter the desired price of the parameter
• Click the calculate Button

Output:

• The Side length
• The Area and Height
• The Perimeter and Semiperimeter