ABCD is a rectangular trapezoid. AD is perpendicular to AB, AD is perpendicular to AC.
| September 8, 2021 | education
ABCD is a rectangular trapezoid. AD is perpendicular to AB, AD is perpendicular to AC. AD = 6 cm. Angle BCD = 60 degrees. Find BC.
In a rectangular trapezoid, its height is equal to the smaller lateral side, then CH = AD = 6 cm.
In a right-angled triangle СBН, through an acute angle and the opposite leg, we determine the length of the hypotenuse BC.
SinСBН = СН / ВС.
ВС = СН / SinСВН = 6 / (√3 / 2) = 12 / √3 = 4 * √3 cm.
Answer: The length of the BC side is 4 * √3 cm.
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