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Centroid

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  Centroid  Centroid is not very confusing topic but there is some confusion with centroid. Now, I want to clear all doubts of centroid in this article. So let's start-  Following are the the points that you should always keep in your mind of centroid : Centroid is the intersection point of the medians of a triangle and is generally denoted by  ‘G’ . It is also known as Center of gravity. Centroid always remains inside the triangle. Centroid(G) divides the median in 2:1 ratio. Centroid(G) divides the triangle into three triangles of equal areas. Area of triangle formed formed by joining the feet of medians of a triangle is ¼th of its area. 6.  Theorems of the medians (Apollonius Theorem)  b²+c²=2(h²+m²) 🖕 This is Apollonius Theorem 7. Co-ordinates of centroid(G)                                           Thanks

Sine and Cosine Rule

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  Sine and Cosine Rule    How useful are sine and cosine rule Everyone thinks that what is the use sine and cosine rule so we can understand in this blog that how sine and cosine rule helps in calculating the big calculation. Now let's start-  We can easily find the sides of a right triangle if one side  and one angle is given in the question or in triangle. But if the triangle is not right triangle then What's you do??? Now, we use sine and cosine rule to find the side of a triangle if the triangle is not right angled.  So let's start sine and cosine rule  Sine Rule  In∆ABD  SinB=AD/AB  AD=cSinB —1  In ∆ACD  SinC=AD/AC  AD=bSinC —2  From equation 1 and 2, we get  cSinB=bSinC  ➡️ c/SinC=b/SinB —3  And,    In ∆BAE  SinA=BE/AB  BE=cSinA —4 In ∆BCE  SinC=BE/BC  BE=aSinC —5  From equation 4 and 5, we get  ➡️c/sinC=a/sinA —6  Now,from equation 3 and 6, we get...