The legs of a right-angled triangle are 3: 4, and its hypotenuse is 20cm. Find the legs of the triangle.
| December 8, 2020 | education
By the Pythagorean theorem, the sum of the squares of the legs is equal to the square of the hypotenuse, we take x
(3x) ^ 2 + (4x) ^ 2 = 20 ^ 2
9x ^ 2 + 16x ^ 2 = 400
25x ^ 2 = 400
x ^ 2 = 8
x = √2
1 leg is equal to 3√2, the second is 4√2
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.
