Calculate the area of a trapezoid ABCD with bases AD and BC if BC = 15cm, AD = 23cm, CD = 12cm
| August 14, 2021 | education
Calculate the area of a trapezoid ABCD with bases AD and BC if BC = 15cm, AD = 23cm, CD = 12cm, angle D = 30 degrees.
From the vertex C of the trapezoid, we will drive the height of CH, then in a right-angled triangle СDН the leg СН lies opposite the angle 30, then СН = СD / 2 = 12/2 = 6 cm.
Determine the area of the trapezoid.
Savsd = (ВС + АD) * СН / 2 = (15 + 23) * 6/2 = 114 cm2.
Answer: The area of the trapezoid is 114 cm2.
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