ABCD is a rectangle. Find side AD if CD = 8 cm, angle ACD = 60 degrees.
| July 14, 2021 | education
As can be seen from the condition of our problem, the AD side is opposite the ACD angle in the corresponding triangle.
From the school geometry course, we well know that the length of the leg in this case can be calculated using the product of the length of the other leg and the tangent of the angle opposite which the desired leg is located.
Let us find out what value the length of the desired leg will correspond to, when it is known from the condition that the other leg is 8 cm:
tg 60 ° = √3.
8 * √3 = 8√3.
Answer: The length of AD is 8√3 cm.
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