Diagonals of rhombus

Find a length of the diagonal AC of the rhombus ABCD if its perimeter P = 112 dm and the second diagonal BD has a length of 36 dm.

Correct answer:

AC =  42.9 dm

Step-by-step explanation:

P=112 dm BD=36 dm  a=P/4=112/4=28 dm  a2=(DB/2)2+(AC/2)2  AC=2 a2(BD/2)2=2 282(36/2)2=4 115=42.9 dm

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