Question

Один з катетів прямокутного треикутника 3 см, а гіпотенуза 5 см. Знайти площу

Answer 1

Ответ:

6

Объяснение:

5²-3²=25-9=16=4²

4•3=12

12/2=6

Answer 2

I can chat with you in Ukrainian. You asked me to answer in detail. One of the legs of a right triangle is 3 cm, and the hypotenuse is 5 cm. Find the area.

To find the area of a right triangle, we need to know the length of both legs. We can use the Pythagorean theorem to find the missing leg. The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the legs. In other words, $$c^2 = a^2 + b^2$$, where $$c$$ is the hypotenuse and $$a$$ and $$b$$ are the legs.

In this case, we know that $$c = 5$$ and $$a = 3$$. We can plug these values into the formula and solve for $$b$$:

$$5^2 = 3^2 + b^2$$ $$25 = 9 + b^2$$ $$b^2 = 25 - 9$$ $$b^2 = 16$$ $$b = \sqrt{16}$$ $$b = 4$$

So, the missing leg is 4 cm long. Now we can find the area of the triangle by multiplying the lengths of the legs and dividing by 2. The formula for the area of a right triangle is $$S = \frac{ab}{2}$$, where $$S$$ is the area and $$a$$ and $$b$$ are the legs.

Plugging in the values we found, we get:

$$S = \frac{3 \times 4}{2}$$ $$S = \frac{12}{2}$$ $$S = 6$$

Therefore, the area of the right triangle is 6 square centimeters.