One of the corners of a right-angled triangle = 60 degrees, and the difference between the hypotenuse
| February 8, 2021 | education
One of the corners of a right-angled triangle = 60 degrees, and the difference between the hypotenuse and the smaller of the legs = 23cm. Find the hypotenuse.
Since, by condition, the angle ACB = 600, then the angle BAC = 90 – 60 = 30.
Let the leg BC = X cm, then the hypotenuse AC = X + 23 cm.
The leg BC lies against an angle of 300, then AC = 2 * BC.
X + 23 = 2 * X.
X = BC = 23 cm.
Then AC = 2 * 23 = 46 cm.
Answer: The length of the AC hypotenuse is 46 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.
