Question

Гіпотенуза трикутника дорівнює 10см, а катет дорівнює 6см.Знайти площу трикутника.

Answer 1

Відповідь:

я не знаю(

Пояснення:

Answer 2

Ответ:

24см²

Объяснение:

За теоремою Піфагора знайдемо другий катет.

√(10²-6²)=√(100-36)=√64=8см

Площа прямокутного трикутника дорівнює половині добутку двох катетів.

S=1/2*6*8=24см²

Answer 3

Calculation of the Triangle's Area

To find the area of a triangle, we can use the formula:

Area = (base * height) / 2

In this case, the given triangle has a hypotenuse of 10 cm and a leg (or cathetus) of 6 cm. To find the area, we need to determine the base and height of the triangle.

Since the triangle is a right triangle, we can use the given leg as the base and the other leg as the height. Therefore, the base is 6 cm and the height is the remaining side of the triangle.

To find the height, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let's calculate the height using the Pythagorean theorem:

height^2 = hypotenuse^2 - base^2

height^2 = 10^2 - 6^2

height^2 = 100 - 36

height^2 = 64

Taking the square root of both sides, we get:

height = √64

height = 8 cm

Now that we have the base and height, we can calculate the area of the triangle:

Area = (base * height) / 2

Area = (6 cm * 8 cm) / 2

Area = 48 cm^2

Therefore, the area of the triangle is 48 square centimeters.

Please let me know if there is anything else I can help you with!