ABC is a right triangle. AB = 8 BC = 10 Angle A = 90 ° AD perpendicular to BC Find- AD.
| June 10, 2021 | education
Determine the value of AC:
AC ^ = BC ^ – AB ^ = 100 – 64 = 36.
AC = 6.
In triangle ABC we find sinACB = AB / BC = 0.8.
Take a right-angled triangle ADC. Taking into account that ACB and ACD are the same angle, we compose the equation:
sinACD = AD / AC.
Whence it follows: AD = AC * sinACD = 6 * 0.8 = 4.8.
Answer: AD = 4.8.
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.
