ABC right-angled triangle AB = 1cm angle A = 30 find the legs.

1. By the condition of the problem, it is known that in a right-angled triangle ABC the hypotenuse is 1 cm, the angle a = 30 °.

Let’s designate the legs as a and b.

2. To determine the legs, we will use trigonometric functions:

a) the sine of the angle is the ratio of the opposite leg to the hypotenuse;

b) the cosine of the angle is equal to the ratio of the adjacent leg to the hypotenuse.

a: 1 cm = sin 30 °, so a = 1 cm * sin 30 ° = 1 cm * 1/2 = 0.5 cm.

in: 1 cm = cos 30 °,

whence b = 1 cm * cos 30 ° = 1 cm * √3 / 2 = 1 cm * 1.7 / 2 = 0.85 cm.

Answer: The legs are 0.5 cm and 0.85 cm.