28 déc. 2019 · Deriving Area of Equilateral Triangle Using Trigonometry ... Now, area of ABC = ½ × a × (b . sin C) = ½ × b × (c . sin A) = ½ × c (a . sin B).
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In an equilateral triangle, ∠A = ∠B = ∠C = 60°. Therefore, sin A = sin B = sin C. Now, area of △ABC = 1/2 × b × c × sin(A) = 1/2 × a × b × sin(C) = 1/2 × a ...
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Durée : 2:54 Postée : 8 oct. 2017 VIDÉO
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1 juin 2021 · Then, you can use the formula A = √3/4 (a²) to determine the area of an equilateral triangle. Knowing how to find the height and area of a ...
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Heron's Formula = Area = s(s−a)(s−b)(s−c) . Where s=2a+b+c. equilateral triangle have equal side. a=b=c⇒a. ∴s=2a+a+a=23a. Area =23a(23a−a)(23a−a)( ...
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Hence, height of an equilateral triangle is h=23 a and area is A=43 a2. solution. expand. Solve any question of Triangles with:-.
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Derivation: First derive Heron's formula. (Derivation of Heron's / Hero's Formula for Area of Triangle) [math]A = \sqrt{s(s-a)(s-b)(s-c)} [/math] For ...
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The area of an equilateral triangle is $\frac{s^2\sqrt{3}}{4} , where ; Using the Pythagorean theorem, we get $s^2=h^2+\frac{s^2} , where ; We use the formula for ...
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Heron's formula or Hero's formula can be used to derive a special formula applicable to calculate the area of an equilateral triangle only.
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Apply the formula to calculate the equilateral triangle's area given as, A = (√3/4)a², where, a is the measure of the side length of the equilateral triangle.
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Derivation of Formula of Area of an Equilateral Triangle · AC2=AD2+DC2⇒AD2=AC2−DC2=a2−(a2)2=a2−a44=3a24 · ⇒AD=h=√3a2 · area(ΔABC)=12bh=12×BC×AD=12×a×h=12×a× ...
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Area of an equilateral triangle =(√34)×a2 · We can also use the decimal value of √3 · Derivation of the Area of An Equilateral Triangle · The formula for the ...
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Using rectangle construction; Using trigonometry. Deriving Area of ...
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Area of an equilateral triangle with sides of length s. XXX=√34⋅s2 (Derivation below). Explanation: enter image source here
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