1. A, B, C – the vertices of the triangle. ∠С = 90 °. CE – height. AE = 5 centimeters.
BE = 20 centimeters.
2. According to the properties of a right-angled triangle, the height CE, drawn from the vertex of the right angle, is calculated by the formula:
CE = √AE x BE = √5 x 20 = 10 centimeters.
3. ВС = √CE² + BE² (by the Pythagorean theorem).
BC = √10² + 20² = √100 + 400 = √500 = 10√5 centimeters.
4. AC = √CE² + AE² = √10² + 5² = √100 + 25 = √125 = 5√5 centimeters.
Answer: leg BC = 10√5 centimeters, leg AC = 5√5 centimeters.
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.