Which of the sides of the triangle ABC is the largest and which is the smallest if the angle

Which of the sides of the triangle ABC is the largest and which is the smallest if the angle b = 75 degrees, the angle c = 90 degrees.

According to the condition of the assignment, the angle C is equal to 90 ° – this means that the indicated triangle ABC is rectangular, respectively, its largest side is the hypotenuse, which lies opposite the angle C, that is, the side AB.

As we know from the school geometry course, the smaller side will be opposite the smaller angle.

Let us determine what the angle a will be equal to:

90 – 75 = 15.

Let us determine how the smallest of the sharp corners is:

15 <75.

Then the smallest side is BC.

Answer: AB is the largest, and BC is the smallest.