# You are given a rectangular trapezoid ABCD with an angle D at a base of 45 degrees. AB = BC = 10cm, Find AD.

December 29, 2020 | education

| Let’s draw the height of CH from the top of the obtuse angle of the trapezoid.

Since the trapezoid is rectangular, and CH is height, the quadrilateral ABCH is a rectangle.

By condition, AB = BC = 10 cm, then the ABCH quadrangle is a square with a side of 10 cm.

In a right-angled SDN triangle, one of the acute angles is 450, then the СDН triangle is rectangular and isosceles. CH = DН = 10 cm.

Determine the length of the base of the blood pressure.

AD = AН + DН = 10 + 10 = 20 cm.

Answer: The length of the blood pressure segment is 20 cm.

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