Question

2. Чому дорівнює катет прямокут- ного трикутника, якщо його гіпотенуза дорівнює 9 см, а другий катет 2 см?​

Answer 1

Т. Пифагора. Квадрат гипотенузы равен сумме квадратов катетов.

с²=a²+b²; 9²=a²+2²; 4+a²=81; a²=81-4; a²=77; a=√77 см – это ответ.

Answer 2

Ответ:

В решении.

Объяснение:

2. Чому дорівнює катет прямокутного трикутника, якщо його гіпотенуза дорівнює 9 см, а другий катет 2 см?​

По теореме Пифагора:

a² + b² = c²

a - один катет;

b - второй катет;

с - гипотенуза;

а = √(с² - b²)

а = √(9² - 2²)

а = √(81 - 4)

а = √77 ≈ 8,75 (см).

Answer 3

Finding the length of the second leg of a right triangle

To find the length of the second leg (or cathetus) of a right triangle, given the length of the hypotenuse and the length of the other leg, 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 that the hypotenuse of the right triangle is 9 cm and the length of the other leg (the first cathetus) is 2 cm. Let's denote the length of the second cathetus as x.

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

x^2 + 2^2 = 9^2

Simplifying the equation, we get:

x^2 + 4 = 81

Subtracting 4 from both sides, we have:

x^2 = 77

Taking the square root of both sides, we find:

x = √77

Therefore, the length of the second cathetus is approximately 8.77 cm.

Please note that the answer is rounded to two decimal places.