Question

"2. Якщо сторони трикутника дорівнюють 5 см, 5 см і 8 см, то висота трикутника, проведена до більшої з його сторін, має довжину: А 3 смБ 4 смВ 2 корінь з 5 смГ 4 корінь з 2 см​

Answer 1

Ответ:

А 3 см.

Пошаговое объяснение:

вот рисунок, по русунку

Answer 2

Finding the length of the altitude of a triangle

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

Altitude = (2 * Area) / Base

In this case, the base of the triangle is the longer side, which measures 8 cm. We need to find the area of the triangle first.

Finding the area of the triangle

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

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

where s is the semi-perimeter of the triangle, and a, b, and c are the lengths of its sides.

In this case, the lengths of the sides of the triangle are 5 cm, 5 cm, and 8 cm. The semi-perimeter can be calculated as:

s = (a + b + c) / 2

Substituting the values, we get:

s = (5 + 5 + 8) / 2 = 9

Now, we can calculate the area using Heron's formula:

Area = √(9 * (9 - 5) * (9 - 5) * (9 - 8)) = √(9 * 4 * 4 * 1) = √144 = 12

Finding the length of the altitude

Now that we have the area of the triangle, we can find the length of the altitude using the formula mentioned earlier:

Altitude = (2 * Area) / Base = (2 * 12) / 8 = 24 / 8 = 3

Therefore, the length of the altitude of the triangle, drawn to the longer side measuring 8 cm, is 3 cm.