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To find the area of this triangle, we require one of the angles. An angle can be found using the cosine rule choosing a=22, b=36 and c=47: or. Simplifying gives and so . It follows that the area is given by

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Furthermore, it is possible to calculate the area of a triangle just from the sides and angles of a triangle without knowing its height. In this article, we will see different methods of how to calculate area of triangle. 3 Methods to Calculate Area of Triangle. Method 1: Using base and height; Method 2: Using side lengths; Method 3: Using ...

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Consider a right triangle with its base on the equator and its apex at the north pole, at which the angle is π/2. The sum of the angles is 3π/2 so the excess is π/2. Such a triangle takes up one eighth of the surface of its sphere, whose area is 4πr 2 where r is the radius. The area of the triangle is thus one eighth of the area of the ...

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THE TRIGONOMETRIC FUCTIONS For an angle θ in standard position, let (x, y) be a point on its terminal side. By the Pythagorean Theorem . r = x2 +y2. The six trigonometric functions of θ are defined as. For an acute angle θ of a right triangle, as shown in Figure T7, the trigonometric functions can also be

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So, how to calculate the area of a triangle using more advanced rules? You can solve the whole triangle starting from different sets of measurements: SSS (side-side-side) - you basically have all three sides, from which you can calculate the angles, and from there - the height, using the Pythagorean...