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If tan pi/12 = (p)^1/2 - (Q)^1/2 , tan pi/8 = (R)^1/2 – (S)^1/2 and sin pi/10 = [(T)^1/2 – (S)^1/2] / p where p,q,r,s,t belong to natural numbers. Then find the sumof the areas of the trainge formed by the sides whose lengths are equal to p,q and t and the rectangle formed by the adjacent sides of length r and s

If tan pi/12 = (p)^1/2  - (Q)^1/2 , tan pi/8 = (R)^1/2 – (S)^1/2  and sin pi/10 = [(T)^1/2 – (S)^1/2] / p where p,q,r,s,t belong to natural numbers. Then find the sumof the areas of the trainge formed by the sides whose lengths are equal to p,q and t and the rectangle formed by the adjacent sides of length r and s
 

Grade:11

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