Question

Знайдіть катет прямокуного трикутника, якщо його гіпотенуза та другий катет відповідно дорівнюють 13 см і 5 см.

Answer 1

Ответ:

по теореме Пифагора

катет=√гипотенуза²-катет²

катет=√13²-5²=√169-25=√144=12

катет=12

Answer 2

Finding the Length of the Missing Leg of a Right Triangle

To find the length of the missing leg of a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, we are given the length of the hypotenuse and one of the legs. Let's call the missing leg "x". The given information is as follows:

- Hypotenuse: 13 cm - Second leg: 5 cm

Using the Pythagorean theorem, we can set up the following equation:

x^2 + 5^2 = 13^2

Simplifying the equation, we have:

x^2 + 25 = 169

Subtracting 25 from both sides of the equation, we get:

x^2 = 144

To solve for x, we take the square root of both sides:

x = √144

Calculating the square root of 144, we find:

x = 12

Therefore, the missing leg of the right triangle measures 12 cm.