Question

Из точки C окружности на диаметр ab опущен перпендикуляр ck . найдите KB если ak=2 ck=4

Answer 1

Решение смотри в файле

Answer 2

Finding the Length of KB

To find the length of KB, we can use the properties of right-angled triangles and the Pythagorean theorem.

Given: - ak = 2 - ck = 4

We can calculate the length of KB using the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Using the Pythagorean theorem, we have: AB^2 = AK^2 + KB^2

Calculating KB

First, let's find the length of AB using the given information: AB = AK + KB

Substitute the given values: AB = 2 + KB

Now, we can use the Pythagorean theorem to find KB: AB^2 = AK^2 + KB^2 (2 + KB)^2 = 2^2 + KB^2 4 + 4KB + KB^2 = 4 + KB^2

Simplify the equation: 4KB = 0

Finally, solve for KB: KB = 0

Therefore, the length of KB is 0.

Conclusion

Based on the given information, the length of KB is 0.