Find the length of the hypotenuse AB of a right-angled triangle ABC if you know that: BC = 8cm angle A = 30 degrees.

From the condition, we know that we are given a right-angled triangle ABC, and we also know that BC = 8 cm angle A = 30 °.

In order to find the hypotenuse AB, let’s remember what the leg is equal to lying opposite an angle of 30 °.

So, the leg lying opposite the angle of a right-angled triangle 30 ° is equal to half of the hypotenuse.

In our case, the BC leg lies opposite an angle of 30 °.

BC = 1/2 * AB;

Let us express the hypotenuse from the obtained equality:

AB = 2 * BC;

We just have to substitute the values and calculate:

AB = 2 * 8 = 16 cm.