The hypotenuse of a right-angled triangular triangle is 2m larger than one of the legs. Find the sides of the triangle if the second leg is 4m.
Let the length of the leg AB = X meters, then the length of the hypotenuse AC = (X + 2) m.
By the Pythagorean theorem:
AC ^ 2 = AB ^ 2 + BC ^ 2.
(X +2) ^ 2 = X ^ 2 + 4 ^ 2.
X ^ 2 + 4 * X + 4 = X ^ 2 + 16.
4 * X = 12.
X = 12/4 = 3 m.
AB = 3 m.
Then AC = 3 + 2 = 5 m.
Answer: The sides of the triangle are 3, 4, 5 meters.
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.