One of the angles of the parallelogram is 135 degrees. The height drawn from the top of the obtuse angle

One of the angles of the parallelogram is 135 degrees. The height drawn from the top of the obtuse angle, equal to 5 cm, divides the side of the parallelogram into 2 equal segments. The perimeter of the parallelogram is 30 cm.Find the sides of the parallelogram

Let’s denote by h – height, a and b – sides. Since the perimeter is 30. We get the equation:

2 * (a + b) = 30;

a + b = 15.

The acute angle of a parallelogram is:

180 – 35 = 45 degrees.

Then side a is equal to:

a = h / sin (45) = 5: 1/2 = 10.

Find side b:

10 + b = 15;

b = 5.