Question

Как вычислить высоту прямоугольного треугольника, проведенную к гипотенузе, если его катеты равны 3 и 4? Пожалуйста, помогите решить задачу)

Answer 1

Вычисляем гипотенузу по т. Пифагора: с=√(а²+b²)=√(3²+4²)=5.
Высота прямоугольного тр-ка, проведённая из прямого угла:
h=ab/c=3·4/5=2.4 - это ответ.

Answer 2

Calculating the Height of a Right-Angled Triangle

To calculate the height of a right-angled triangle drawn to the hypotenuse, given that its legs are 3 and 4, you can use the formula:

Height (h) = (a * b) / c

Where: - a and b are the lengths of the legs of the triangle - c is the length of the hypotenuse

In this case, the legs are 3 and 4, and the hypotenuse can be calculated using the Pythagorean theorem as:

c = √(a^2 + b^2)

Let's calculate the hypotenuse first and then use it to find the height.

Calculating the Hypotenuse

Using the Pythagorean theorem: c = √(3^2 + 4^2) c = √(9 + 16) c = √25 c = 5

Now that we have the value of the hypotenuse, we can calculate the height using the formula mentioned earlier.

Calculating the Height

h = (3 * 4) / 5 h = 12 / 5 h = 2.4

So, the height of the right-angled triangle drawn to the hypotenuse, given that its legs are 3 and 4, is 2.4.