Latest MBA Aptitude Question SOLUTION: For a trapezium, S1 denotes the sum of the squares of the sides and S2 denotes the sum of the squares of the diagonals. S1 - S2 = 576. If the longer parallel side is 50 cm, the sho

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For a trapezium, S1 denotes the sum of the squares of the sides and S2 denotes the sum of the squares of the diagonals. S1 - S2 = 576. If the longer parallel side is 50 cm, the shorter parallel side is ?

1) 26
2) 22
3) 18
4) 30

Asked In MBA (11 years ago)

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Vijay Sharma  (10 years ago)

my take on this problem is as follows i am solving according to the dia attached

now it is given sum of squares of sides - sum of squares of diagonals=576

sum of squares of sides s1= AB^2+bc^2+cd^2+da^2

sum of squares of diagonals is s2=AC^2+bd^2


now there is a formula AC^2+BD^2= Ad^2+bc^2+2abcd


AB^2+bc^2+cd^2+da^2-(Ad^2+bc^2+2abcd)=576

ab^2+cd^2-2abcd=576

subs ab=50

we can form quad equation of

cd^2-100cd+1924=0


solving we get 74 and 26

the longer side is 74


hope it's clear

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