Question

Стороны треугольника равны 8см 4см и 6 см. Найти высоту проведенную к большей стороне

Answer 1

4^2=5^2+6^2-2*5*6

casa=3/4

sina=^1-9/16=^7/16=(^7)/4=h/5

h=(5^7)/4

Answer 2

Task: Finding the height of a triangle with sides of 8 cm, 4 cm, and 6 cm

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

Area = (base * height) / 2

In this case, the base of the triangle is the side with a length of 8 cm, and we need to find the height corresponding to this base.

Let's calculate the area of the triangle first using Heron's formula, which is suitable for triangles with known side lengths:

Heron's formula: Area = sqrt(s * (s - a) * (s - b) * (s - c))

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

The semi-perimeter can be calculated as:

s = (a + b + c) / 2

Now, let's substitute the given side lengths into the formulas and calculate the height of the triangle.

Solution:

Given side lengths of the triangle: 8 cm, 4 cm, and 6 cm.

Using Heron's formula to calculate the area of the triangle:

s = (8 + 4 + 6) / 2 = 9

Area = sqrt(9 * (9 - 8) * (9 - 4) * (9 - 6)) = sqrt(9 * 1 * 5 * 3) = sqrt(135) ≈ 11.62 cm² Now, let's calculate the height of the triangle using the formula for the area:

Area = (base * height) / 2

Substituting the values:

11.62 = (8 * height) / 2

Simplifying the equation:

11.62 = 4 * height

Dividing both sides by 4:

height = 11.62 / 4 ≈ 2.91 cm

Therefore, the height of the triangle corresponding to the base with a length of 8 cm is approximately 2.91 cm.

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