If the perimeter of parallelogram ABCD is 32,5ab = 3bC, the value range of diagonal AC is ()

If the perimeter of parallelogram ABCD is 32,5ab = 3bC, the value range of diagonal AC is ()


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If the perimeter of parallelogram ABCD is 32, 5ab = 3bC, the value range of diagonal AC is ()
A. 6<AC<10B. 6<AC<16C. 10<AC<16D. 4<AC<16


∵ the perimeter of parallelogram ABCD is 32, 5ab = 3bC, ∵ 2 (AB + BC) = 2 (35bc + BC) = 32, ∵ BC = 10, ∵ AB = 6, ∵ bc-ab < AC < BC + AB, i.e. 4 < AC < 16



It is known that the circumference of a parallelogram is 36 cm, and the length of one of the two adjacent sides is twice the length of the other side


The length of the short side is 6cm