Question

В треугольнике PFC угол PF равен 90°, PF = 5 см, FC = 12 см. Найдите PC. ПОМОГИТЕ ПОЖАЛУЙСТА

Answer 1

На 100% уверена, что правильно ✨

Answer 2

Task: Finding the length of PC in triangle PFC

To find the length of PC in triangle PFC, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right 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.

In this case, PF is the hypotenuse, and PC and FC are the other two sides. Let's denote the length of PC as x.

According to the Pythagorean theorem, we have the following equation:

PF^2 = PC^2 + FC^2

Substituting the given values, we have:

5^2 = x^2 + 12^2

Simplifying the equation:

25 = x^2 + 144

Rearranging the equation:

x^2 = 25 - 144

x^2 = -119

Since the result is negative, it means that the length of PC is an imaginary number. Therefore, there is no real solution for the length of PC in this triangle.

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