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

March 31, 2021 | education

| **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.

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