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how do you find area of triangles

 Feb 2, 2017
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3 ways.

 

1) Let b denote the base of the triangle and h denote the height of the triangle.

 

Area = \(\dfrac{bh}{2}\)

 

2) Let a, b, c denote the 3 sides of the triangle respectively and s = \(\dfrac{\text{Perimeter}}{2}\)

 

Area = \(\sqrt{s(s-a)(s-b)(s-c)}\)

 

3) Let a and b denote any 2 sides of the triangle and \(\theta\) denote the angle included in the 2 sides.

 

Area = \(\dfrac{ab\sin \theta}{2}\)

 

Where \(\sin x = \dfrac{e^{ix}-e^{-ix}}{2i}\)

 

Where \(e^x = 1 + x + \dfrac{x^2}{2}+\dfrac{x^3}{2\times 3}+\dfrac{x^4}{2\times 3\times 4}+......\)

and \(i = \sqrt{-1}\)

 Feb 2, 2017

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