Question

in the figure ABCD is a square. if ac+bd=24 CM then ab is equal to

Answer 1

Answer:

=> Diagonals Are Equal In A Square

=> Then , ac = 12 And bd = 12

=> ab^2 + bc^2 = ac

=> Since All The Sides Are Equal In A Square

=> 2ab^2 = ac

=> 2ab^2 = 12 cm

=> ab^2 = 6

=> ab = root of 6

Explanation:

Answer 2

Answer: AB=8.485 cm

Explanation:

Given that: ABCD is a square, The sum of its two diagonals AC+BD=24cm

To find: AB

Calculation:

Each side of the square is equal. Let us assume the side of the square to be x. The diagonals of the square are equal, then each diagonal is equal to 12 cm.

$X^{2}+X^{2}=12^{2}=144\\2x^{2}=144\\x^{2}=72\\x=\sqrt{72}=8.485$

Each side of the square=8.485 cm.