It is known that the perimeter of a parallelogram is 20 cm. A diagonal divides it into two triangles with a perimeter of 16 cm. How many cm is the diagonal?

It is known that the perimeter of a parallelogram is 20 cm. A diagonal divides it into two triangles with a perimeter of 16 cm. How many cm is the diagonal?


The perimeter of the parallelogram is 20 cm,
A group of adjacent edges is 10cm
The perimeter of two triangles divided by a diagonal = a group of adjacent sides + diagonal length = 10 + diagonal length = 16 cm
The diagonal length is 6cm



If the perimeter of the parallelogram is equal to 56cm and the ratio of the two adjacent sides is 3:1, the length of the longer side of the parallelogram is______ cm.


∵ quadrilateral ABCD is a parallelogram, ∵ AB = CD, ad = BC, ∵ the perimeter of the parallelogram is equal to 56cm, ∵ AB + CD + AD + BC = 56cm, ∵ AB + BC = 28cm, ∵ BC: ab = 3:1, ∵ BC = 21cm, ab = 7cm, ∵ the longer side of the parallelogram is 21cm