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# area of equilateral triangle

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## area of equilateral triangle Introduction

### Equilateral triangle - Wikipedia

Denoting the common length of the sides of the equilateral triangle as a, we can determine using the Pythagorean theorem that The area is A = 3 4 a 2 {\displaystyle A={\frac {\sqrt {3}}{4}}a^{2}}. The perimeter is p = 3 a {\displaystyle p=3a\,\!}.

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

Area of an equilateral triangle. But in the case of equilateral triangles, where all three sides are the same length, there is a simpler formula Area = √ 3 4 s 2 where s is the length of any side of the triangle. Note that √ 3 4 is constant that has the value of approximately 0.433, so the formula simplifies a little to Approximate area = 0.433 s s.

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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 equilateral triangle (video) Khan Academy

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Mar 05, 2016 · All of that over 4. So for example, if you have an equilateral triangle where each of the sides was 1, then its area would be square root of 3 over 4. If you had an equilateral triangle where each of the sides were 2, then this would be 2 squared over 4, which is just 1. So it would just be square …

Author Sal Khan

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

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

Area of an equilateral triangle. Label the sides. Draw the perpendicular bisector of the equilateral triangle as shown below. Dividing by 2 is the same as multiplying the denominator by 2. Buy a comprehensive geometric formulas ebook. All geometric formulas are …

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### What is the area of this equilateral triangle? - Quora

Jan 27, 2017 · Formula With respect to sine of angle between the sides. Area of a triangle is 1/2 x base x height. In the case of an equilateral triangle, the perpendicular to the base from the opposite vertex will bisect the base and will hence divide the equilateral triangle into two equal right angled triangles.

An equilateral triangle of side 6cm is inscribed in a ...Dec 07, 2018The perimeter of an equilateral triangle is 60M, what is ...Nov 19, 2018What is the area of an equilateral triangle inside a circle ...Jun 10, 2018What is an equilateral triangle?Mar 12, 2018See more results

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

Area of an equilateral triangle. Label the sides. Draw the perpendicular bisector of the equilateral triangle as shown below. Dividing by 2 is the same as multiplying the denominator by 2. Buy a comprehensive geometric formulas ebook. All geometric formulas are explained with well selected word problems.

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

Mar 29, 2019 · Find the length of one side of the triangle. An equilateral triangle has three equal side lengths and three equal angle measurements, so if you know the length of one side, you know the length of all three sides. For example, you might have a triangle with three sides that are 6 cm long.

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### Area of triangles (article) Khan Academy

Intuition for why the area of a triangle is A=21bh. Whoa! You made a rectangle that's twice as big as the triangle! The area of the rectangle is bh=4×5=20 square units, so the area of the triangle is 21bh=21×4×5=10 square units. Key intuition A triangle is half as big as the rectangle that surrounds it, which is why the area of a triangle is one-half base times height.

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### What is the area of this equilateral triangle? - Quora

Jan 28, 2017 · Formula With respect to sine of angle between the sides. Area of a triangle is 1/2 x base x height. In the case of an equilateral triangle, the perpendicular to the base from the opposite vertex will bisect the base and will hence divide the equilateral triangle into two equal right angled triangles.

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

We then apply the formula for the area of a triangle, which is 1/2 * b * h. We get 1/2 * 10 * 5√3 = 5 * 5√3 = 25√3. In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4.

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### Equilateral triangle - Wikipedia

Other propertiesEdit. The triangle of largest area of all those inscribed in a given circle is equilateral; and the triangle of smallest area of all those circumscribed around a given circle is equilateral. The ratio of the area of the incircle to the area of an equilateral triangle, , is larger than that of any non-equilateral triangle.

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### How to Calculate the Area of an Equilateral Triangle ...

Apr 24, 2017 · An equilateral triangle is a triangle with all three sides of equal length. The surface area of a two dimensional polygon such as a triangle is the total area contained by the sides of the polygon. The three angles of an equilateral triangle are also of equal measure in Euclidean geometry.

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### Triangles - Equilateral, Isosceles and Scalene

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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### Equilateral Triangle -- from Wolfram MathWorld

Equilateral Triangle. An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal. An …

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

Area of An Equilateral Triangle. 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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### Equilateral Triangles Calculator

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

Mar 17, 2019 · Area of an Equilateral Triangle. Area of an Equilateral Triangle is measured in unit 2 and the Equilateral triangles are also equi-angular, which denotes, all three internal angles are also equivalent to each other and the only value possible is 60° each.

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### Equilateral Triangle Calculator - Shows All Steps

Equilateral Triangle Calculator Enter side, perimeter, area or altitude of equilateral triangle then choose a missing value and the calculator will show you a step by step explanation how to find that value.

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### Area of Triangles Worksheets - mathworksheets4kids

Explore this assortment of the area of triangles worksheets to elevate the practice of grade 6, grade 7 and grade 8 students. Incorporated here is an array of topics like finding the area of a triangle with dimensions in integers, decimals and fractions, finding the area involving unit conversions, finding the area of scalene, isosceles and equilateral triangles and more!

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