In a triangle ОВМ, the angle BОС = 90 degrees, ОН is perpendicular to BM, ВМ = 26dm, ВН = 18dm. Find OH and OB.
| June 20, 2021 | education
Let us determine the length of the segment MH.
МН = ВМ – ВН = 26 – 18 = 8 dm.
Since OH is perpendicular to ВM, then OH is the height drawn from a right angle to the hypotenuse, then OH ^ 2 = BH * MH = 18 * 8 = 144.
OH = 12 cm.
In the right-angled triangle ВOН, according to the Pythagorean theorem, we determine the length of the hypotenuse OB.
ОВ ^ 2 = ВН ^ 2 + ОН ^ 2 = 324 + 144 = 468.
ОВ = 6 * √13 cm.
Answer: Length OH = 12 cm, length OB = 6 * √13 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.
