Question

СРОЧНО ДАМ 55 БАЛЛОВ Точки А, В и К принадлежат одной прямой. Вычислите длины отрезков КА и КВ, если АВ = 18 см, а КA + КB = 24 см (необходимо рассмотреть все возможные случаи). С решением плз

Answer 1

Объяснение:

вот и всё, держи и лови решение

Answer 2

Calculation of Lengths of Segments KA and KB

To calculate the lengths of segments KA and KB, we need to consider all possible cases. Let's analyze each case separately:

Case 1: KA and KB are on the same side of AB

In this case, KA + KB = AB. Given that AB = 18 cm and KA + KB = 24 cm, we can set up the following equation:

KA + KB = AB

Substituting the given values:

KA + KB = 18 cm KA + KB = 24 cm

Solving this system of equations, we can find the lengths of KA and KB.

Case 2: KA and KB are on opposite sides of AB

In this case, KA - KB = AB. Given that AB = 18 cm and KA - KB = 24 cm, we can set up the following equation:

KA - KB = AB

Substituting the given values:

KA - KB = 18 cm KA - KB = 24 cm

Solving this system of equations, we can find the lengths of KA and KB.

Let's solve each case separately.

Case 1: KA and KB are on the same side of AB

To find the lengths of KA and KB, we can solve the system of equations:

KA + KB = 18 cm KA + KB = 24 cm

Subtracting the first equation from the second equation, we get:

(KA + KB) - (KA + KB) = 24 cm - 18 cm 0 = 6 cm

This equation has no solution. Therefore, there are no valid lengths for KA and KB in this case.

Case 2: KA and KB are on opposite sides of AB

To find the lengths of KA and KB, we can solve the system of equations:

KA - KB = 18 cm KA - KB = 24 cm

Subtracting the first equation from the second equation, we get:

(KA - KB) - (KA - KB) = 24 cm - 18 cm 0 = -6 cm

This equation also has no solution. Therefore, there are no valid lengths for KA and KB in this case.

In both cases, there are no valid lengths for KA and KB that satisfy the given conditions.