Question

prove that the sum of squares of the lengths of the sides of a rectangle is equal to the sums of the squares of the length of its diagonals.

Answer 1

let length be L and breadth be B

sum of their squares is (L^2+B^2)

length of diagonal of a rectangle is

√(L^2+B^2). (formula)

square of the length of the diagonal is

L^2+B^2

Hence, they are equal

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