In a right-angled triangle ABC, angle C = 90 degrees, angle B = 30 degrees
| August 18, 2021 | education
In a right-angled triangle ABC, angle C = 90 degrees, angle B = 30 degrees, BC = 18 cm, CK perpendicular to AB, KM perpendicular to BC. Find MB.
In order to solve this problem, you need to carefully study the condition and draw a picture to facilitate understanding of the situation.
In a right-angled triangle, ВСК <В = 30 °.
BC = 18 cm, so CK = BC / 2 = 9.
In a right-angled triangle MCK <K = 30 °.
CK = 9 cm.
It turns out CM = 9/2 = 4.5 cm.
BM = BC – MC = 18 – 4.5 = 13.5.
Therefore, our answer is: b) 13.5 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.
