Pythagoras and Heron are together !!!
John had a 16 x 10 rectangular paper. He wanted to make a kite from it , so he marked mid points of all four sides of rectangle and join them to form a rhombus.Then he cut that rhombus to form a kite .Later he attached a triangle with sides 5,6,5 at the base of rhombus. Then find the total area of kite and also find the side of rhombus , if the side is 'n' then square it and add it with the area of rhombus and find its cube.
The answer is 4826809.
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1 solution
If the rhombus is made by joining the mid points, its diagonals will be equal to corresponding sides of rectangle, i.e. d1=16, d2=10, so area of rhombus = d1 d2/2= 80 Then area of base triangle = 1/2 6*4=12 Side of rhombs,n= √(8^2+5^2)=√89 So ans ={n^2+80+12}^3=181^3=5929741