Question

Задача. Сторони трикутника дорівнюють 144 см, 120см. 120см. Знайти висоту проведену до основи.​

Answer 1

Ответ:

Пошаговое объяснение:

h = 96см

Answer 2

Task: Finding the height of a triangle with sides measuring 144 cm, 120 cm, and 120 cm.

To find the height of a triangle, we can use the formula for the area of a triangle. The area of a triangle can be calculated using the formula:

Area = (base * height) / 2

In this case, the base of the triangle is one of the sides, and we need to find the height. Let's assume that the side measuring 144 cm is the base of the triangle.

To find the height, we can rearrange the formula as follows:

Height = (2 * Area) / base

Now, let's calculate the area of the triangle using Heron's formula. Heron's formula states that the area of a triangle can be calculated using the lengths of its sides. Let's denote the sides of the triangle as a, b, and c.

Area = sqrt(s * (s - a) * (s - b) * (s - c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the sides of the triangle are 144 cm, 120 cm, and 120 cm. Let's substitute these values into the formula to find the area.

s = (144 + 120 + 120) / 2 = 192

Area = sqrt(192 * (192 - 144) * (192 - 120) * (192 - 120)) = sqrt(192 * 48 * 72 * 72) = 1728

Now that we have the area of the triangle, we can substitute it into the formula to find the height.

Height = (2 * 1728) / 144 = 24

Therefore, the height of the triangle is 24 cm.

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