Question

Найдите катет прямоугольного треугольника, учитывая, что его второй катет и гипотенуза соответственно равны: 9 дм и 41 дм

Answer 1

41*41-9*9=40 дм - искомый катет прямоугольного треугольника.

Answer 2

I can chat with you in Russian.

To find the missing side of a right triangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is 41 dm and one of the sides is 9 dm. Let x be the length of the other side. Then, we have:

$$41^2 = 9^2 + x^2$$

Solving for x, we get:

$$x^2 = 41^2 - 9^2$$ $$x^2 = 1680$$ $$x = \sqrt{1680}$$ $$x \approx 40.99$$

Therefore, the length of the missing side is approximately 40.99 dm. You can check your answer by plugging it back into the Pythagorean theorem and verifying that it satisfies the equation.