In a right-angled triangle ABC, angle C is 90 degrees, angle A is 30 degrees
| September 1, 2021 | education
In a right-angled triangle ABC, angle C is 90 degrees, angle A is 30 degrees, AC is 10 cm, CD is perpendicular to AB, DE is perpendicular to AC, find AE.
In a right-angled triangle ACD, the leg CD is erect against an angle of 30, then its length is equal to half the length of the hypotenuse AC. CD = AC / 2 = 10/2 = 5 cm.
Angle ACD = (90 – CAD) = (90 – 30) = 60, then in a right-angled triangle CED the angle CDE = (90 – 60) = 30. Kate CE lies opposite angle 30, then its length is equal to half the length of the hypotenuse CD. CE = CD / 2 = 5/2 = 2.5 cm.
The length of the segment AE = AC – CK = 10 – 2.5 = 7.5 cm.
Answer: The length of the segment AE is 7.5 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.
