Question

у трикутнику АВС кут С дорівнює 90 градусів СН - висота. АС =8. соsА =0,5.Знайдіть АН Ппппппжжжжжжжжжаааааллллууууссстттааап даюююю 30 бал​

Answer 1

Ответ:

решение смотри на фотографии

Answer 2

Triangle ABC and Angle C

In triangle ABC, angle C is equal to 90 degrees.

Height and Side AC

SN is the height of triangle ABC. The length of side AC is given as 8 units.

Cosine of Angle A

The cosine of angle A is given as 0.5.

To find AN, we can use the cosine rule. The cosine rule states that in a triangle with sides a, b, and c, and angle C opposite side c, the following equation holds:

c^2 = a^2 + b^2 - 2ab * cos(C)

In this case, we want to find AN, so we can rewrite the equation as:

AN^2 = AC^2 + SN^2 - 2 * AC * SN * cos(A)

Substituting the given values:

AN^2 = 8^2 + SN^2 - 2 * 8 * SN * 0.5

To find AN, we need to know the value of SN. Unfortunately, the value of SN is not provided in the question. Therefore, we cannot calculate the value of AN without knowing the value of SN.

If you have the value of SN, please provide it so that we can proceed with the calculation.