Question

2. ДАВС -ДА,В,С, АВ = 18 см, A,B, = 9 см, AC = 12 см,BC = 10 см. Найдите PA, B,C, :​

Answer 1

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Answer 2

Problem Statement

We are given a quadrilateral ABCD, where DA = AB = 18 cm, AB = BC = 9 cm, AC = 12 cm, and BC = 10 cm. We need to find the lengths of PA, PB, and PC.

Solution

To find the lengths of PA, PB, and PC, we can use the Pythagorean theorem and the properties of similar triangles.

Let's start by finding the length of PA.

Length of PA

To find the length of PA, we need to find the length of AD. Since DA = AB = 18 cm, we know that AD = 18 cm.

Now, let's find the length of PB.

Length of PB

To find the length of PB, we need to find the length of BD. We can use the Pythagorean theorem to find BD.

In triangle BCD, we have BC = 10 cm and CD = AC - AD = 12 cm - 18 cm = -6 cm. However, a negative length is not possible, so we can conclude that triangle BCD is not possible.

Therefore, we cannot find the length of PB.

Finally, let's find the length of PC.

Length of PC

To find the length of PC, we need to find the length of DC. We can use the Pythagorean theorem to find DC.

In triangle BCD, we have BC = 10 cm and BD = AB - AD = 9 cm - 18 cm = -9 cm. Again, a negative length is not possible, so we can conclude that triangle BCD is not possible.

Therefore, we cannot find the length of PC.

In summary, we can find the length of PA, which is equal to 18 cm. However, we cannot find the lengths of PB and PC because the given measurements do not form a valid quadrilateral.

Please let me know if I can help you with anything else.