# area of equilateral triangle

### Equilateral triangle - Wikipedia

An equilateral triangle is easily constructed using a straightedge and compass, because 3 is a Fermat prime.Draw a straight line, and place the point of the compass on one end of the line, and swing an arc from that point to the other point of the line segment.

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### Area of an equilateral triangle - Math Open Reference

When you know all three sides of a triangle, you can find the area using Heron's Formula. But in the case of equilateral triangles, where all three sides are the same length, there is a simpler formula where s is the length of any side of the triangle.

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### Area of equilateral triangle (video) Khan Academy

Finding the formula for the area of an equilateral triangle with side s. If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic and *.kasandbox are unblocked.

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### How to find the area of an equilateral triangle ...

Explanation . Equilateral triangles have sides of all equal length and angles of 60°. To find the area, we can first find the height. To find the height, we can draw an altitude to one of the sides in order to split the triangle into two equal 30-60-90 triangles.

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### Mathwords Area of an Equilateral Triangle

Area of an Equilateral Triangle. The formula is given below. Equilateral Triangle. s = length of a side . See also. Equilateral triangle this page updated 19-jul-17 Mathwords Terms and Formulas from Algebra I to Calculus written, illustrated, and webmastered by ...

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### Area of an Equilateral Triangle Formula, Derivation ...

An equilateral triangle is a triangle in which all three sides are equal. Equilateral triangles are also equi-angular, which means, all three internal angles are also equal to …

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### Area of an Equilateral Triangle Formula, Derivation ...

An equilateral triangle is a triangle in which all three sides are equal. Equilateral triangles are also equi-angular, which means, all three internal angles are also equal to each other and the only value possible is 60° each.

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### Area of an equilateral triangle - Basic-mathematics

The area of an equilateral triangle can be found by using the Pythagorean formula Start with any equilateral triangle. ... Area of irregular shapes Math problem solver. Math skills assessment. Compatible numbers. Surface area of a cube. New math lessons. Email. I am at least 16 years of age.

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### Java Program to find Area of Equilateral Triangle

The Equilateral Triangle is a triangle of equal sides and all angles are equal to 60 degrees. If we know the side of an Equilateral Triangle then, we can calculate the area of an Equilateral Triangle using below formula. Area = (√3)/4 * s² (S = Any side of the Equilateral Triangle) Perimeter is ...

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### 4 Ways to Calculate the Area of a Triangle - wikiHow

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Aug 03, 2019 · So, the area of an equilateral triangle with sides 6 cm long is about 15.59 square centimeters. Method 4. Using Trigonometry. 1. Find the length of two adjacent sides and the included angle. Adjacent sides are two sides of a triangle …

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### Equilateral Triangle Shape - CalculatorSoup

An equilateral triangle is a special case of a triangle where all 3 sides have equal length and all 3 angles are equal to 60 degrees. The altitude shown h is h b or, the altitude of b. For equilateral triangles h = h a = h b = h c .

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### Triangle - Wikipedia

both again holding if and only if the triangle is equilateral. Bisecting the area. There are infinitely many lines that bisect the area of a triangle. Three of them are the medians, which are the only area bisectors that go through the centroid. Three other area bisectors are parallel to the triangle's sides.

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Well the shaded area is going to be equal to the large equilateral triangle's area minus the area of the small equilateral triangle. So we just have to figure out what the area of each of these equilateral triangles are. And so to do it, we remember that the area of a triangle is equal to 1/2 base times height.

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### C program to find area of an equilateral triangle - …

May 13, 2015 · C equivalent expression to find area of equilateral triangle - (sqrt(3) / 4) * (side * side) Logic to find area of equilateral triangle. Mathematical formula for area of equilateral triangle in programming notation can be written as (sqrt(3) / 4) * (side * side).Where sqrt() is a function used to compute square root. We will use this formula to find area of equilateral triangle.

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### Area Of Equilateral Triangle - Byju's Mathematics

Area Of Equilateral Triangle A=√3/4 a^2, a is any side of a triangle. We have covered formula, its proof, properties and examples for better understanding.

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### Equilateral Triangle Calculator - Shows All Steps

$\triangle ABC$ is an equilateral triangle with area 24. Find the perimeter of $\triangle ABC$. Formulas for Equilateral Triangle. To calculate missing value in equilateral triangle, based on one known value, you need to remember just three formulas. F1 $$P = 3 \cdot a$$ a = side . h ...

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### Express the Area of an equilateral triangle as function of ...

May 08, 2008 · Express the Area of an equilateral triangle as function of the length x of a side. First, find the height of the triangle. Split the triangle in half so it …

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### Equilateral triangle - Wikipedia

An equilateral triangle can be constructed by taking the two centers of the circles and either of the points of intersection. In both methods a by-product is the formation of vesica piscis. The proof that the resulting figure is an equilateral triangle is the first proposition in Book I of Euclid's Elements.

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### How to find the height of an equilateral triangle - …

Find the area of a equilateral triangle with a side of 8 units. Step 1. Use the height formula ... Equilateral triangles also have three equal angles of 60 degrees; They also have three equal altitudes; Is the height of an equilateral triangle equal to its side length. No It is easy to imagine with everything being equal that the height, and ...

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### Triangles - Equilateral, Isosceles and Scalene

Why is the Area "Half of bh"? Imagine you "doubled" the triangle (flip it around one of the upper edges) to make a square-like shape (a parallelogram) which can be changed to a simple rectangle THEN the whole area is bh, which is for both triangles, so just one is ½ × bh.

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