In a right-angled triangle ACB, the angle C is 90 degrees, and the angle CAB

In a right-angled triangle ACB, the angle C is 90 degrees, and the angle CAB = 60 degrees. calculate the length of the leg BC if the length of the height CF of the triangle ACB is 6 cm.

1. Considering that the sum of the inner angles of the triangle is 180 °, we calculate the value of the angle ABC:

180 ° – 90 ° – 60 ° = 30 °.

2. In a triangle BCF, the perpendicular CF is a leg opposite an angle equal to

30 °. Therefore, according to the properties of a right-angled triangle, its length is half the hypotenuse BC.

3. We calculate the length of the aircraft:

BC = CF x 2 = 6 x 2 = 12 centimeters.

Answer: the length of the leg BC of the right-angled triangle ABC is 12 centimeters.