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10. If one diagonal of a square measures 2(4k-2) cm and the other diagonai measures 3(k+7) cm, then what is the length of each side of a square? C. 36cm A. 16cm B. 24cm D. 48cm​

Pa help po..salamat ng marami in advance :)

Sagot :

Nicseiiid

Answer:

The side of square is 25.4cm

Step-by-step explanation:

2(4k-2)  = 3(k+7)

=  8k - 4 = 3k + 2l

8k - 3k - 21 + 4 = 25

5k = 25  {square have equal diagonals}

k = 5

So the diagonals is 3L5+7l = 3bcm

x² +  x ² 36²

2x² = 36²

x² = 648

x =  √648 = 25.4cm