Question

Углы треугольника относятся как 4:5:6.Найдите угол B ,если сторона AC средняя по величине.Срочно!!!!

Answer 1

4х+5х+6х=15=180 гр
х=180/15=12
5х= 60

Answer 2

Finding the Angle B in a Triangle with Side AC as the Median

To find the angle B in a triangle with side AC as the median, we need to use the given information that the angles of the triangle are in the ratio of 4:5:6.

Let's assume that the angles of the triangle are 4x, 5x, and 6x, where x is a constant.

Since the angles of a triangle add up to 180 degrees, we can write the equation:

4x + 5x + 6x = 180

Simplifying the equation, we get:

15x = 180

Dividing both sides of the equation by 15, we find:

x = 12

Now that we know the value of x, we can find the measures of the angles:

Angle A = 4x = 4 * 12 = 48 degrees Angle B = 5x = 5 * 12 = 60 degrees Angle C = 6x = 6 * 12 = 72 degrees

Therefore, the measure of angle B is 60 degrees.

Please note that the given information does not provide any specific lengths for the sides of the triangle, so we cannot determine the exact lengths of the sides. The given information only allows us to find the measures of the angles.