In a right-angled triangle ABC with a right angle C cos A = 1/2 leg AC = 6 find the hypotenuse AB.
| September 23, 2021 | education
Since CosA = 1/2, the angle BAC = arcos (1/2) = 60.
Then the angle ABC = (90 – 60) = 30.
The AC leg lies opposite an angle of 30, then its length is equal to half the length of the AC hypotenuse.
AC = AB / 2.
AB = 2 * AC = 2 * 6 = 12 cm.
Second way.
The cosine of an acute angle of a right-angled triangle is the ratio of the length of the adjacent leg to the length of the hypotenuse.
CosA = AC / AB.
AB = AC / CosA = 6 / (1/2) = 12 cm.
Answer: The length of the hypotenuse AB is 12 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.
