In triangle ABC, angle C = 60, angle B = 90. Height BH = 2 cm. Find AB.
July 27, 2021 | education|
In the right-angled triangle given by the condition, we find the second acute angle:
∠ А = 90 ° – ∠ С = 90 ° – 60 ° = 30 °.
Consider a right-angled triangle AHB. In it, the angle A = 30 ° and the leg BH = 2 cm are known, which lies opposite the angle of 30 °.
The hypotenuse AB is equal to:
AB = 2 * BH = 2 * 2 = 4 (cm).
Answer: AB length is 4 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.