In triangle ABC, angle C = 90 degrees, angle B = 24 degrees BC = 17 cm Find AC, AB and angle A

Let us determine what the angle A in this triangle will equal, when from the condition of the assignment we know that the angle B is 24 °:

90 – 24 = 66.

Let us determine what the length of the hypotenuse AB will be equal to, when from the condition of the task we know that the length of the leg BC is seventeen centimeters:

BC / AB = cos B;

AB = BC: cos B;

AB = 17: 0.91 ≈ 19.

Let’s determine what the length of the AC side will equal:

√ (19 ^ 2 – 17 ^ 2) = √ (361 – 289) = √72.

Answer: the angle A is 66 °, the length AB ≈ 40 cm, the length of the AU is equal to 72 cm.