Question

P треугольника = 114 длины 5:6:8 стороны?

Answer 1

114:(5+6+8)=6
5×6=30
6×6=36
8×6=48

Answer 2

To find the perimeter (P) of a triangle with side lengths in the ratio 5:6:8, we need to determine the actual lengths of the sides.

Let's assume the side lengths of the triangle are 5x, 6x, and 8x, where x is a common factor. The perimeter of the triangle is the sum of these side lengths:

P = 5x + 6x + 8x

To find the value of x, we can set up an equation using the given perimeter value (P = 114):

114 = 5x + 6x + 8x

Combining like terms:

114 = 19x + 8x

114 = 27x

Dividing both sides by 27:

x = 114/27

Simplifying the fraction:

x ≈ 4.222

Now that we have the value of x, we can find the lengths of the sides:

Side 1 = 5x ≈ 5 * 4.222 ≈ 21.11 Side 2 = 6x ≈ 6 * 4.222 ≈ 25.33 Side 3 = 8x ≈ 8 * 4.222 ≈ 33.78

Therefore, the lengths of the sides of the triangle are approximately 21.11, 25.33, and 33.78.

And the perimeter of the triangle is:

P = 21.11 + 25.33 + 33.78 ≈ 80.22