Calculations +Progressions + Solutions Of Triangle

Geometry Level 4

The Sides Of A Triangle Are Three Consecutive Natural Numbers And Its Largest Angle Is

Twice The Smallest One .Let x,y,z denote the length of sides of the triangle in ascending

order .Now , "84" arithmetic means are inserted between x and z . Let "d" denote the sum

of these 84 arithmetic means . And "92" Arithmetic Means Are Inserted Between x and y

and similarly "100" arithmetic means are inserted between y and z . let "e" and "f" denote

the sum of these 92 and 100 arithmetic means respectively .

Find the value of x+y+z+d+e+f

This Is Original


The answer is 1399.

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