JEE Main 2022 Mathematics question

MathematicsSolution of TrianglesJEE Main 2022

Not in JEE syllabus

Let a, b and c be the length of sides of a triangle ABC such that (a + b)/7 = (b + c)/8 = (c + a)/9. If r and R are the radius of incircle and radius of circumcircle of the triangle ABC, respectively, then the value of R/r is equal to :

Answer: (1)

Solution

Let (a + b)/7 = (b + c)/8 = (c + a)/9 = . Adding, , so , , (a right triangle). Then , $Δ =

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Question ID VK-024986