The diameter AB and chords AC and CD were drawn in a circle so that AC = 12cm, ∠BAC = 30 °,
| August 10, 2021 | education
The diameter AB and chords AC and CD were drawn in a circle so that AC = 12cm, ∠BAC = 30 °, AB⊥CD. Find the length of the chord CD.
Since the chord CD is perpendicular to the diameter of the circle, the ACN triangle is rectangular.
The CH leg lies opposite an angle of 30, then its length is equal to half the length of the AC hypotenuse.
CH = AC / 2 = 6 cm.
If the chord is perpendicular to the diameter of the circle, then the diameter divides the chord in half, then CH = DH = 6 cm, CD = CH + DH = 6 + 6 = 12 cm.
Answer: The length of the chord CD is 12 cm.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
