Find the unknown sides and angles of a right triangle if the hypotenuse is 27 cm and the Betta angle is 30 degrees.

Let us find out what the other acute angle of this triangle will be, if from the condition of the task we know that the first acute angle is equal to 30 °:

90 – 30 = 60.

Let’s find out how many centimeters the first leg will be determined (it lies opposite an angle of 30 °), if from the condition of the task we know that the hypotenuse of our triangle is 27 centimeters:

27: 2 = 13.5.

Let’s find out how many centimeters the second leg will be determined:

27 * √3 / 2 = 13.5√3.

Answer: The angle is 60 °, the sides are 13.5 and 13.5√3 cm, respectively.